Yurii V. Pavlov

• The quantum field theory in curved space-time
• Quantum theory and Gravitation

1. Yu.V.Pavlov, Nonconformal Scalar Field in a Homogeneous Isotropic Space and the Hamiltonian Diagonalization Method.
   Teor. Matem. Fiz. 126, No 1, 115-124 (2001). [English transl.: Theor. Math. Phys. (2001) 126, No 1, 92-100.] gr-qc/0012082 (2000).
2. A.A.Grib, Yu.V.Pavlov, Black holes and high energy physics.
   Int. J. Mod. Phys. A 31, No. 2,3, 1641016 (2016).
3. A.A.Grib, Yu.V.Pavlov, Particle creation in the early Universe: achievements and problems,
   Gravitation and Cosmology, 22, No. 2, 107-115 (2016), arXiv:1601.06618 [gr-qc].
4. A.A.Grib, Yu.V.Pavlov, Comparison of particle properties in Kerr's metric and in rotating coordinates,
   arXiv:1609.04202 [gr-qc] (2016).
5. A.A.Grib, Yu.V.Pavlov, Properties of particles in the ergosphere of black holes,
   arXiv:1607.02729 [gr-qc] (2016).
6. A.A.Grib, Yu.V.Pavlov, Black holes and particles with zero and negative energy,
   arXiv:1601.02592 [gr-qc] (2016).
7. A.A.Grib, Yu.V.Pavlov, High energy physics in the vicinity of rotating black holes.
   Teor. Matem. Fiz. 185, No. 1, 77-85 (2015) [English transl.: Theor. Math. Phys. (2015) 185, No. 1, 1425-1432], arXiv:1503.04289 [gr-qc].
8. A.A.Grib, Yu.V.Pavlov, Are black holes totally black?
   Gravitation and Cosmology, 21, No. 1, 13-18 (2015), arXiv:1410.5736 [gr-qc].
9. Yu.V.Pavlov, On creation of scalar particles with Gauss-Bonnet type coupling to curvature in Friedmann cosmological models,
   Gravitation and Cosmology, 20, No. 1, 21-25 (2014), arXiv:1403.6932 [gr-qc].
10. K.A.Bronnikov, V.Yu.Dorofeev, V.N.Melnikov, V.M.Mostepanenko, Yu.V.Pavlov,
    "Andrei Anatolyevich Grib, on the 75th Birthday",
    Gravitation and Cosmology, 20, No. 1, 1-2 (2014).
11. A.A.Grib, Yu.V.Pavlov, High energy particles with negative and positive energies in the vicinity of black holes,
    AIP Conf. Proc., Vol. 1606, pp.11-18 (2014), arXiv:1401.0368 [gr-qc].
12. A.A.Grib, Yu.V.Pavlov, Geodesics with negative energy in the ergosphere of rotating black holes, arXiv:1304.7360v1 [gr-qc];
    A.A.Grib, Yu.V.Pavlov, V.D.Vertogradov, Mod. Phys. Lett. A 29, No. 20, 1450110 (2014).
13. A.A.Grib, Yu.V.Pavlov, On the energy of particle collisions in the ergosphere of the rotating black holes.
    EPL (Europhysics Letters) 101, No. 2, 20004 (2013), arXiv:1301.0698 [gr-qc].
14. A.A.Grib, Yu.V.Pavlov, Collision energy of particles in the ergosphere of rotating black holes.
    Teor. Matem. Fiz. 176, No. 1, 60-68 (2013). [English transl.: Theor. Math. Phys. (2013) 176, No. 1, 881-887].
15. Yu.V.Pavlov, Exact solutions and particle creation for nonconformal scalar fields in homogeneous isotropic cosmological models.
    Teor. Matem. Fiz. 174, No. 3, 504-512 (2013). [English transl.: Theor. Math. Phys. (2013) 174, No. 3, 438-445], arXiv:1304.1874 [gr-qc].
16. Yu.V.Pavlov, On the possibility of observation of the future for movement in the field of black holes of different types,
    Gen. Relativ. Gravit. 45, No. 1, 17-25 (2013), arXiv:1203.4000 [gr-qc].
17. A.A.Grib, Yu.V.Pavlov, O.F.Piattella, On collisions with unlimited energies in the vicinity of Kerr and Schwarzschild black hole horizons,
    Gravitation and Cosmology 18, No. 1, 70-75 (2012), arXiv:1203.4952 [gr-qc].
18. A.A.Grib, Yu.V.Pavlov, O.F.Piattella, High energy processes in the vicinity of the Kerr's black hole horizon,
    Int. J. Mod. Phys. A 26, No. 22, 3856-3867 (2011), arXiv:1105.1540 [gr-qc].
19. A.A.Grib, Yu.V.Pavlov, Particles with negative energies in black holes.
    Int. J. Mod. Phys. D 20, No. 5, 675-684 (2011), arXiv:1008.3657 [gr-qc].
20. Yu.V.Pavlov, Exact solutions for a scalar field in homogeneous isotropic cosmological models, and particle creation. (In Russian).
    Uchenye Zapiski Kazan Universiteta. Ser. Fiz.-Matem. Nauki 153, No. 3, 65-71 (2011).
21. A.A.Grib, Yu.V.Pavlov, On particles collisions in the vicinity of rotating black holes,
    Pis'ma v ZhETF, Vol. 92, iss. 3, 147-151 (2010) [On the collisions between particles in the vicinity of rotating black holes, JETP Lett., Vol. 92, No. 3, 125-129 (2010)].
    On particle collisions in the gravitational field of the Kerr black hole,
    Astropart. Phys., Vol. 34, iss. 7, 581-586 (2011), arXiv:1001.0756v2 [gr-qc].
    On particle collisions and extraction of energy from a rotating black hole, arXiv:1004.0913 [gr-qc], On particle collisions near Kerr's black holes, arXiv:1007.3222 [gr-qc].
    On particles collisions near rotating black holes,
    Gravitation and Cosmology, Vol. 17, No 1, 42-46 (2011), arXiv:1010.2052 [gr-qc].
22. Yu.V.Pavlov, On particles creation and renormalization in a cosmological model with a Big Rip.
    Gravitation and Cosmology, Vol. 15, No 4, 341-344 (2009), arXiv:0911.3737 [gr-qc].
23. A.A.Grib, Yu.V.Pavlov, Is it possible to see the infinite future of the Universe when falling into a black hole?
    Uspekhi Fizicheskikh Nauk 179, No 3, 279-283 (2009),
    [English transl.: Physics - Uspekhi 52, No 3, 257-261 (2009), arXiv:0906.1442 [gr-qc]].
24. A.A.Grib, Yu.V.Pavlov, On the hypothesis of superheavy particles as particles of dark matter.
    Online proceedings of 4-th International Sakharov Conference on Physics, May 18-23, 2009, Lebedev Institute, Moscow.
25. A.A.Grib, Yu.V.Pavlov, Superheavy particles as dark matter and their role in creation of visible matter in active galactic nuclei and the early Universe.
    Int. J. Mod. Phys. A 24, No 8&9, 1610-1619 (2009).
26. Yu.V.Pavlov, Particles creation in cosmology: Exact solutions. (In Russian).
    Quantum Theory and Cosmology. Coll. of essays in honour seventieth birthday of Professor A.A.Grib. Eds. V.Yu.Dorofeev, Yu.V.Pavlov. A.A.Friedmann Laboratory Publ., St.Petersburg, 2009, pp.158-171.
27. A.A.Grib, Yu.V.Pavlov, Active galactic nuclei and transformation of dark matter into visible matter.
    Gravitation and Cosmology, Vol. 15, No 1, 44-48 (2009), arXiv:0810.1724 [gr-qc] (2008).
28. Yu.V.Pavlov, Space-time description of scalar particle creation by a homogeneous isotropic gravitational field.
    Gravitation and Cosmology, Vol. 14, No 4, 314-320 (2008), arXiv:0811.4236 [gr-qc].
29. A.A.Grib, Yu.V.Pavlov, Do active galactic nuclei convert dark matter into visible particles?
    Mod. Phys. Lett. A 23, No 16, 1151-1159 (2008), arXiv:0712.2667 [gr-qc].
30. A.A.Grib, Yu.V.Pavlov, Creation of superheavy particles by gravity of early Universe and hypothesis of superheavy dark matter. (In Russian).
    Trudy Institute of Applied Astronomy RAS, Vyp. 18, pp.161-181. Nauka, Saint Petersburg, 2008.
31. A.A.Grib, Yu.V.Pavlov, Is dark matter the relic of the primordial matter that created the visible matter of the Universe?
    Gravitation and Cosmology, Vol. 14, No. 1, 1-7 (2008).
32. A.A.Grib, Yu.V.Pavlov, Quantum field theory in curved spacetime and the dark matter problem.
    AIP Conf. Proc. 2007, Vol. 956, pp.96-106.
33. Yu.V.Pavlov, Duffin-Kemmer-Petiau equation with nonminimal coupling to curvature.
    Gravitation and Cosmology 12, No 2-3, 205-208 (2006), arXiv:gr-qc/0610115
34. A.A.Grib, Yu.V.Pavlov, Superheavy particles and the dark matter problem.
    Gravitation and Cosmology 12, No 2-3, 159-162 (2006).
35. A.A.Grib, Yu.V.Pavlov, Superheavy particles and the dark matter in the Universe. (In Russian).
    Izvestiya of the Russian State Pedagogical University (The Herzen University), N 6 (15), 253-261 (2006).
36. A.A.Grib, Yu.V.Pavlov, Some effects of the quantum field theory in the early Universe.
    "Focus on Quantum Field Theory", ed. O.Kovras. Nova Science Publishing, New York, 2005, pp.1-21. arXiv:gr-qc/0505140
37. Yu.V.Pavlov, On renormalization for a scalar field with Gauss-Bonnet-type coupling to curvature.
    Gravitation and Cosmology 11, No 1-2, 123-126 (2005).
38. A.A.Grib, Yu.V.Pavlov, Dark matter in the early Universe and the creation of visible particles.
    Gravitation and Cosmology 11, No 1-2, 119-122 (2005).
39. Yu.V.Pavlov, Renormalization and dimensional regularization for a scalar field with Gauss-Bonnet-type coupling to curvature.
    Teor. Matem. Fiz. 140, No 2, 241-255 (2004) [English transl.: Theor. Math. Phys. (2004) 140, No 2, 1095-1108], arXiv:gr-qc/0409009
40. Yu.V.Pavlov, The n-wave procedure and dimensional regularization for the scalar field in a homogeneous isotropic space.
    Teor. Matem. Fiz. 138, No 3, 453-467 (2004) [English transl.: Theor. Math. Phys. (2004) 138, No 3, 383-396], arXiv:gr-qc/0403008
41. Yu.V.Pavlov, Hamiltonian diagonalization and scalar particles creation in curved space. (In Russian).
    Gravitation, Cosmology and Elementary Particles. Coll. of essays in honour sixty fifth birthday of Professor A.A.Grib. Eds. V.Yu.Dorofeev, Yu.V.Pavlov, E.A.Poberii. St.Petersburg University EF Publ., 2004, pp.75-86.
42. A.A.Grib, Yu.V.Pavlov, On the possible role of superheavy particles in the early Universe.
    "I.Ya.Pomeranchuk and Physics at the Turn of the Century". Proceedings of the International Conference. Eds. A.Berkov, N.Narozhny, L.Okun. World Scientific Publishing, 2003, pp. 406-412, arXiv:gr-qc/0009071v2
43. P.Kurasov, Yu.V.Pavlov, On field theory methods in singular perturbation theory.
    Lett. Math. Phys. 64, No 2, 171-184 (2003).
44. A.A.Grib, Yu.V.Pavlov, Cold dark matter and primordial superheavy particles.
    Int. J. Mod. Phys. A 17, No 29, 4435-4439 (2002), arXiv:gr-qc/0211015
45. Yu.V.Pavlov, Creation of the nonconformal scalar particles in nonstationary metric.
    Int. J. Mod. Phys. A 17, No 6,7, 1041-1044 (2002), arXiv:gr-qc/0202041
46. Yu.V.Pavlov, The Hamilton Operator and Quantum Vacuum for Nonconformal Scalar Fields in the Homogeneous and Isotropic Space.
    Operator Theory: Advances and Applications, Vol. 132, Operator Methods in Ordinary and Partial Differential Equations, 323-332 (2002), Birkhauser Verlag, Basel/Switzerland. arXiv:gr-qc/0211062
47. A.A.Grib, Yu.V.Pavlov, On the coincidence between visible and hidden masses.
    Gravitation and Cosmology 8, Suppl. II, 50-51 (2002).
48. A.A.Grib, Yu.V.Pavlov, Quantum field theory in curved space-time and the early Universe.
    Gravitation and Cosmology 8, Suppl., 148-153 (2002), arXiv:gr-qc/0206040
49. A.A.Grib, Yu.V.Pavlov, Superheavy particles in Friedmann cosmology and the dark matter problem.
    Int. J. Mod. Phys. D 11, No 3, 433-436 (2002), arXiv:hep-ph/0006086 (2000).
50. Yu.V.Pavlov, Dimensional regularization and the n-wave procedure for scalar fields in many-dimensional quasi-Euclidean spaces.
    Teor. Matem. Fiz. 128, No 2, 236-248 (2001) [English transl.: Theor. Math. Phys. (2001) 128, No 2, 1034-1045].
51. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of the nonlinear nonautonomic Klein-Fock-Gordon equation.
    Proceedings of the XLIV Summer School-Conference ''Advanced Problems in Mechanics'', APM 2016 , Saint Petersburg, June 27 - July 02, 2016, pp. 20-27.
52. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Nonlinear model of deformation of crystal media with complex lattice: mathematical methods of model implementation.
    Mathematics and Mechanics of Solids 21, No 1, 19-36 (2016).
53. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Solutions of the sine-Gordon equation with a variable amplitude.
    Teor. Matem. Fiz. 184, No 1, 79-91 (2015). [English transl.: Theor. Math. Phys. (2015) 184, No 1, 961-972].
54. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Mathematical methods for solution of nonlinear model of deformation of crystal media with complex lattice.
    Proceedings of the Int. Conference ''Days on Diffraction 2015'' May 25 - 29, 2015, St.Petersburg, Russia, Eds. O.V.Motygin, A.P.Kiselev, P.A.Belov et al., pp. 8-13.
55. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Nonlinear theory of localized and periodic waves in solid crystal media with complex lattice.
    Proceedings of the Int. Conference ''Days on Diffraction 2014'' May 26 - 30, 2014, St.Petersburg, Russia, Eds. O.V.Motygin, A.P.Kiselev, L.I.Goray et al., pp. 6-11.
56. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, N.A.Reinberg, Nonlinear theory of deformation of crystal media with complex structure of lattice: plane deformation.
    Proceedings of the XLII Summer School-Conference ''Advanced Problems in Mechanics'', APM 2014, Saint Petersburg, June 30 - July 5, 2014, pp. 154-163.
57. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of nonlinear Klein-Fock-Gordon equation.
    Applied Mathematics and Computation 223, 160-166 (2013).
58. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Nonlinear Klein-Fock-Gordon equation and Abelian functions.
    Proceedings of the Int. Conference ''Days on Diffraction 2013'' May 27 - 31, 2013, St.Petersburg, Russia, Eds. O.V.Motygin, A.S.Kirpichnikova, A.P.Kiselev, pp. 5-10.
59. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Exact solutions of nonlinear Klein-Fock-Gordon equation.
    Proceedings of the Int. Conference ''Days on Diffraction 2012'' May 28 - June 1, 2012, St.Petersburg, Russia, Eds. O.V.Motygin, A.S.Kirpichnikova, A.P.Kiselev, M.V.Perel, pp. 7-12.
60. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Propagation of waves in thin crystal layers at different potentials of interaction of sublattices.
    Proceedings of the XLI Summer School-Conference ''Advanced Problems in Mechanics'', APM 2013, Saint Petersburg, July 1 - 6, 2013, pp. 113-122.
61. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of nonlinear Klein-Gordon equation.
    Proceedings of the XL Summer School-Conference ''Advanced Problems in Mechanics'', APM 2012, Saint Petersburg, July 2 - 8, 2012, pp. 9-18.
62. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, The nonlinear theory of reorganization of structure of superthin crystal layers at intensive loadings.
    Mater. Phys. Mech. 15, No. 2, 126-134 (2012).
63. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, New approach to the solution of the classical sineБ─⌠Gordon equation and its generalizations.
    Differentsial'nye Uravneniya 47, No. 10, 1428-1438 (2011). [English transl.: Differential Equations (2011) 47, No. 10, 1442-1452.]
64. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of triple sine-Gordon equation.
    Proceedings of the Int. Conference ''Days on Diffraction 2011'' May 30 - June 3, 2011, St.Petersburg, Russia, Eds. O.V.Motygin, A.S.Kirpichnikova, A.P.Kiselev, M.V.Perel, pp. 5-10.
65. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Hydrodynamics of liquid nanolayers.
    Mater. Phys. Mech. 11, No. 2, 137-156 (2011).
66. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of the double sine-Gordon equation.
    Proceedings of the XXXIX Summer School-Conference ''Advanced Problems in Mechanics'', APM 2011, Repino, Saint Petersburg, July 1 - 5, 2011, pp. 10-20.
67. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Functionally invariant solutions of sine-Gordon equation with variable amplitude.
    Proceedings of the XXXVIII Summer School-Conference ''Advanced Problems in Mechanics'', APM 2010, Repino, Saint Petersburg, July 1 - 5, 2010, pp. 17-22.
68. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, New approach to solution of sine-Gordon equation with variable amplitude.
    Proceedings of the Int. Conference ''Days on Diffraction 2010'' June 8 - 11, 2010, St.Petersburg, Russia, Eds. I.V.Andronov, A.P.Kiselev, M.V.Perel, A.S.Kirpichnikova, pp. 10-15.
69. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Some dynamical problems for generalized (3+1)-dimensional sine-Gordon equation.
    Proceedings of the XXXVII Summer School-Conference ''Advanced Problems in Mechanics'', APM 2009, Repino, Saint Petersburg, June 30 - July 5, 2009, pp. 19-31.
70. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, A new approach to solution of generalized (3+1)-dimensional sine-Gordon equation.
    Proceedings of the Int. Conference ''Days on Diffraction 2009'' May 26Б─⌠29, 2009, St.Petersburg, Russia, Eds. I.V.Andronov, A.P.Kiselev, M.V.Perel, A.S.Kirpichnikova, pp. 7-12.
71. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Solutions of generalized (3+1) sine-Gordon equation.
    Nelineinyi Mir 7, N 7, 513-517 (2009). (In Russian).
72. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, Solutions of the three-dimensional sine-Gordon equation.
    Teor. Matem. Fiz. 158, No 3, 370-377 (2009). [English transl.: Theor. Math. Phys. (2009) 158, No 3, 313-319.]
73. E.L.Aero, A.N.Bulygin, Yu.V.Pavlov, A new approach to solution of sine-Gordon equation.
    Proceedings of the Fourth European Conference on Structural Control, 4ECSC, Saint Petersburg, September 8-12, 2008, Vol. 1, pp. 117-124.
74. S.K.Gordeev, S.A.Kukushkin, Yu.V.Pavlov,
    Macrokinetic special features of producing the composite materials with pyrocarbon matrix. Materialovedenie, N 2 (2004), 52-56.
75. S.K.Gordeev, S.A.Kukushkin, A.V.Osipov, Yu.V.Pavlov,
    Self-organization in the formation of a nanoporous carbon material.
    Fizika Tverdogo Tela 42, No 12, 2245-2248 (2000). [English transl.: Physics of the Solid State 42, No 12, 2314-2317 (2000).]
76. M.Bordag, J.Linding, V.M.Mostepanenko and Yu.V.Pavlov,
    Vacuum stress-energy tensor of noncomformal scalar field in quasi-Euclidean gravitational background.
    Int. J. Mod. Phys. D 6, No 4, 449-463 (1997).
77. G.L.Klimchitskaya, Yu.V.Pavlov, The correction to the Casimir forces for configuration used in experiments: the spherical lens above the plane and two crossed cylinders.
    Int. J. Mod. Phys. A 11, No 20, 3723-3742 (1996).
78. V.B.Bezerra, V.M.Mostepanenko, Yu.V.Pavlov, C.Romero,
    Vacuum quantum effects of noncomformal scalar field near the cosmological singularity. Contributions to 9th Russian Gravitational Conference, June 1996, Novgorod. p.137.
79. G.L.Klimchitskaya and Yu.V.Pavlov, Stark broadening and satellite structure of hydrogen spectal lines in the presence of constant and microwave electric fields.
    Journal of Physics B: At. Mol. Opt. Phys. 24, No 8, 1899-1907 (1991).
80. G.L.Klimchitskaya, Yu.V.Pavlov, On the influence of Lamb shift on hydrogen spectral lines satellites in microwave discharge.
    Optika i Spektroskopiya 71, No 2, 246-247 (1991). [English transl. in Optics and Spectroscopy, Vol. 71 (1991).]
81. G.L.Klimchitskaya, Yu.V.Pavlov, The influence of constant fields on hydrogen spectral lines satellites in microwave field.
    Optika i Spektroskopiya 71, No 1, 34-39 (1991). [English transl. in Optics and Spectroscopy, Vol. 71 (1991).]
82. V.D.Liakhovsky, Yu.V.Pavlov, Harmonic superspaces with large N.
    Vestnik Leningrad University, Ser.4: Physics, V.1 (N 4), 7-13 (1989).