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On black hole structures in scalar-tensor theories of gravity. (English) Zbl 1347.83018

Summary: We review some properties of black hole structures appearing in gravity with a massless scalar field, with both minimal and nonminimal coupling. The main properties of the resulting cold black holes are described. The study of black holes in scalar-gravity systems is extended to \(k\)-essence theories, and some examples are explicitly worked out. In these cases, even while the existence of horizons is possible, the metric regularity requirement on the horizon implies either a cold black type structure or a singular behavior of the scalar field.

MSC:

83C57 Black holes
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories

References:

[1] 1. LIGO Scientific Collab. and Virgo Collab, arXiv:1602.03839.
[2] 2. S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford University Press, Oxford, 1992). · Zbl 0912.53053
[3] 3. V. P. Frolov and A. Zelnikov, Introduction to Black Hole Physics (Oxford University Press, Oxford, 2011). genRefLink(16, ’S0218271816410054BIB003’, ’10.1093 · Zbl 1234.83001
[4] 4. I. Z. Fisher, Zh. Eksp. Teor. Fiz.18 (1948) 636, arXiv:gr-qc/9911008 [arXiv] .
[5] 5. H. Ellis, J. Math. Phys.14 (1973) 104. genRefLink(16, ’S0218271816410054BIB005’, ’10.1063
[6] 6. K. A. Bronnikov, Acta Phys. Pol. B4 (1973) 251.
[7] 7. K. A. Bronnikov, M. S. Chernakova, J. C. Fabris, N. Pinto-Neto and M. E. Rodrigues, Int. J. Mod. Phys. D17 (2008) 25. [Abstract] genRefLink(128, ’S0218271816410054BIB007’, ’000253909900002’); genRefLink(64, ’S0218271816410054BIB007’, ’2008IJMPD..17...25B’);
[8] 8. K. A. Bronnikov, G. Clement, C. P. Constantinidis and J. C. Fabris, Gravit. Cosmol.4 (1998) 128. genRefLink(64, ’S0218271816410054BIB008’, ’1998GrCo....4..128B’);
[9] 9. K. A. Bronnikov, J. C. Fabris and D. C. Rodrigues, Gravit. Cosmol.22 (2016) 26. genRefLink(16, ’S0218271816410054BIB009’, ’10.1134
[10] 10. Sh. Tsujikawa, Lect. Notes Phys.892 (2015) 97. genRefLink(16, ’S0218271816410054BIB010’, ’10.1007
[11] 11. C. Deffayet and D. A Steer, arXiv:1307.2450.
[12] 12. K. A. Bronnikov, J. C. Fabris and A. Zhidenko, Eur. Phys. J.C71 (2011) 1791. genRefLink(16, ’S0218271816410054BIB012’, ’10.1140
[13] 13. J. A. Gonzalez, F. S. Guzman and O. Sarbach, Class. Quantum Grav.26 (2009) 015010. genRefLink(16, ’S0218271816410054BIB013’, ’10.1088
[14] 14. K. A. Bronnikov, C. P. Constantinidis, R. Evangelista and J. C. Fabris, Int. J. Mod. Phys. D8 (1999) 481. [Abstract] genRefLink(128, ’S0218271816410054BIB014’, ’000082545200004’); genRefLink(64, ’S0218271816410054BIB014’, ’1999IJMPD...8..481B’);
[15] 15. N. M. Bocharova, K. A. Bronnikov and V. N. Melnikov, Vestn. MGU, Fiz. Astron.6 (1970) 706.
[16] 16. K. A. Bronnikov and G. N. Shikin, Russ. Phys. J.20 (1977) 1138.
[17] 17. G. Clement, J. C. Fabris and M. E. Rodrigues, Phys. Rev. D79 (2009) 064021. genRefLink(16, ’S0218271816410054BIB017’, ’10.1103
[18] 18. G. Clement, J. C. Fabris and G. T. Marques, Phys. Lett. B651 (2007) 54. genRefLink(16, ’S0218271816410054BIB018’, ’10.1016
[19] 19. S. Adler and R. B. Pearson, Phys. Rev. D18 (1978) 2798. genRefLink(16, ’S0218271816410054BIB019’, ’10.1103
[20] 20. J. D. Bekenstein, Cosmology and Gravitation, ed. M. Novello (Atlanti-Sciences, Biarritz, 2000), pp. 1-85.
[21] 21. K. A. Bronnikov, Phys. Rev. D64 (2001) 064013. genRefLink(16, ’S0218271816410054BIB021’, ’10.1103
[22] 22. C. A. R. Herdeiro and E. Radu, arXiv:1504.08209.
[23] 23. K. A. Bronnikov and S. G. Rubin, Black Holes, Cosmology, and Extra Dimensions, (World Scientific, Singapore 2012). [Abstract]
[24] 24. K. A. Bronnikov and J. C. Fabris, Phys. Rev. Lett.96 (2006) 251101, arXiv:gr-qc/0511109 [arXiv] . genRefLink(16, ’S0218271816410054BIB024’, ’10.1103
[25] 25. K. A. Bronnikov, V. N. Melnikov and H. Dehnen, Gen. Relativ. Gravit.39 (2007) 973, arXiv:gr-qc/0611022 [arXiv] . genRefLink(16, ’S0218271816410054BIB025’, ’10.1007
[26] 26. S. V. Bolokhov, K. A. Bronnikov and M. V. Skvortsova, Class. Quantum. Grav.29 (2012) 245006, arXiv: 1208.4619 [arXiv] . genRefLink(16, ’S0218271816410054BIB026’, ’10.1088
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