Black holes and particles with zero or negative energy
Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 2, pp. 312-324 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study properties of particles with zero or negative energy and a nonzero orbital angular momentum in the ergosphere of a rotating black hole. We show that the sign of the particle energy is uniquely determined by the angular velocity of its rotation in the ergosphere. We give a simple proof of the fact that extreme black holes cannot exist. We investigate the question of the possibility of an unlimited energy increase in the center-of-mass system of two colliding particles, one or both of which have negative or zero energy.
Keywords: black hole, Kerr metric, negative-energy particle, geodesic.
Mots-clés : particle collision
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A. A. Grib; Yu. V. Pavlov. Black holes and particles with zero or negative energy. Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 2, pp. 312-324. http://geodesic.mathdoc.fr/item/TMF_2017_190_2_a7/

[1] Ch. Mizner, K. Torn, Dzh. Uiler, Gravitatsiya, Mir, M., 1977

[2] S. Chandrasekar, Matematicheskaya teoriya chernykh dyr, Mir, M., 1986 | MR

[3] I. D. Novikov, V. P. Frolov, Fizika chernykh dyr, Nauka, M., 1986

[4] A. A. Grib, Yu. V. Pavlov, V. D. Vertogradov, “Geodesics with negative energy in the ergosphere of rotating black holes”, Modern Phys. Lett. A, 29:20 (2014), 1450110, 9 pp., arXiv: 1304.7360 | DOI | MR | Zbl

[5] R. P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics”, Phys. Rev. Lett., 11:5 (1963), 237–238 | DOI | MR | Zbl

[6] R. H. Boyer, R. W. Lindquist, “Maximal analytic extension of the Kerr metric”, J. Math. Phys., 8:2 (1967), 265–281 | DOI | MR | Zbl

[7] L. D. Landau, E. M. Lifshits, Teoriya polya, Nauka, M., 1988 | MR

[8] A. A. Grib, Yu. V. Pavlov, “Particles with negative energies in black holes”, Internat. J. Modern Phys. D, 20:5 (2011), 675–684 | DOI | MR | Zbl

[9] A. A. Grib, Yu. V. Pavlov, “On the energy of particle collisions in the ergosphere of the rotating black holes”, Europhys. Lett., 101:2 (2013), 20004, arXiv: 1301.0698 | DOI | MR

[10] A. A. Grib, Yu. V. Pavlov, “Energiya stolknovenii chastits v ergosfere vraschayuschikhsya chernykh dyr”, TMF, 176:1 (2013), 60–68 | DOI | DOI | MR | Zbl

[11] O. B. Zaslavskii, “Acceleration of particles as a universal property of ergosphere”, Modern Phys. Lett. A, 28:11 (2013), 1350037, 8 pp. | DOI

[12] K. S. Thorne, “Disk-accretion onto a black hole. II. Evolution of the hole”, Astrophys. J., 191:2 (1974), 507–519 | DOI

[13] A. A. Grib, Yu. V. Pavlov, “On particles collisions near rotating black holes”, Grav. Cosmol., 17:1 (2011), 42–46 | DOI | Zbl

[14] J. M. Bardeen, B. Carter, S. W. Hawking, “The four laws of black hole mechanics”, Commun. Math. Phys., 31:2 (1973), 161–170 | DOI | MR | Zbl

[15] A. Laitman, V. Press, R. Prais, S. Tyukolski, Sbornik zadach po teorii otnositelnosti i gravitatsii, Mir, M., 1979 | MR

[16] J. M. Bardeen, W. H. Press, S. A. Teukolsky, “Rotating black holes: locally nonrotating frames, energy extraction, and scalar synchrotron radiation”, Astrophys. J., 178:2 (1972), 347–369 | DOI

[17] M. Bañados, J. Silk, S. M. West, “Kerr black holes as particle accelerators to arbitrarily high energy”, Phys. Rev. Lett., 103:11 (2009), 111102, 4 pp. | DOI

[18] A. A. Grib, Yu. V. Pavlov, “On particles collisions in the vicinity of rotating black holes”, Pisma v ZhETF, 92:3 (2010), 147–151 | DOI

[19] A. A. Grib, Yu. V. Pavlov, “On particle collisions in the gravitational field of the Kerr black hole”, Astropart. Phys., 34:7 (2011), 581–586 | DOI

[20] A. A. Grib, Yu. V. Pavlov, Are black holes totally black?, Grav. Cosmol., 21:1 (2015), 13–18 | DOI | MR | Zbl

[21] A. A. Grib, Yu. V. Pavlov, “Fizika vysokikh energii v okrestnosti vraschayuschikhsya chernykh dyr”, TMF, 185:1 (2015), 77–85 | DOI | DOI | MR | Zbl