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Structures of general relativity in dilaton-Maxwell electrodynamics

O. V. Kechkin

http://orcid.org/0000-0002-3070-3482

D. V. Skobeltsyn Institute of Nuclear Physics, M. V. Lomonosov Moscow State University, Moscow 119234, Russia

Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow 119991, Russia

E-mail Address: kechkin@srd.sinp.msu.ru

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and

P. A. Mosharev

Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow 119991, Russia

E-mail Address: moscharev.pavel@physics.msu.ru

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https://doi.org/10.1142/S0217751X1650127XCited by:8 (Source: Crossref)

Abstract

It is shown that electro (magneto) static sector of Maxwell’s electrodynamics coupled to the dilaton field in a string theory form possesses the symmetry group of the stationary General Relativity in vacuum. Performing the Ernst formalism, we develope a technique for generation of exact solutions in this modified electrodynamics on the base of the normalized Ehlers symmetry transformation. In the electrostatic case, we construct and study a general class of spherically symmetric solutions that describes a pointlike source of the Coulomb type. It is demonstrated that this source is characterized by finite and singularity-free interaction at short distances. Also it is established that the total electrostatic energy of this source is finite and inversely proportional to the dilaton-Maxwell coupling constant.

Keywords:

PACS: 11.10.Lm, 04.20.Jb, 05.45.Yv

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References

1. J. M. Overduin and P. S. Wesson, Phys. Rep. 283, 303 (1997). Web of Science, ADS, Google Scholar
2. D. S. Berman and D. C. Thompson, Phys. Rep. 566, 1 (2014). Web of Science, ADS, Google Scholar
3. D. Youm, Phys. Rep. 316, 1 (1999). ADS, Google Scholar
4. V. I. Denisov, V. A. Sokolov and M. I. Vasili’ev, Phys. Rev. D 90, 023011 (2014). Web of Science, ADS, Google Scholar
5. V. I. Denisov and V. A. Sokolov, JETP 113, 926 (2011). Web of Science, ADS, Google Scholar
6. V. I. Denisov, Phys. Rev. D 61, 036004 (2000). Web of Science, ADS, Google Scholar
7. L. Labun and J. Rafelski, Phys. Rev. D 81, 065026 (2010). Web of Science, ADS, Google Scholar
8. W. Kinnersley, J. Math. Phys. 18, 1529 (1977). Web of Science, ADS, Google Scholar
9. W. Kinnersley and D. M. Chitre, J. Math. Phys. 18, 1538 (1977). Web of Science, ADS, Google Scholar
10. W. Kinnersley and D. M. Chitre, J. Math. Phys. 18, 1926 (1978). Web of Science, ADS, Google Scholar
11. C. Hoenselaers, W. Kinnersley and B. C. Xanthopoulos, J. Math. Phys. 20, 2530 (1979). Web of Science, ADS, Google Scholar
12. J. Ehlers, Les Theories Relativistes de la Gravitation (CNRS, Paris, 1959), p. 275. Google Scholar
13. O. V. Kechkin, Gen. Relativ. Gravit. 31, 1075 (1999). Web of Science, ADS, Google Scholar
14. A. H. Taub, Ann. Math. 53, 472 (1951). Web of Science, ADS, Google Scholar
15. E. Newman, L. Tamborino and T. Unti, J. Math. Phys. 4, 915 (1963). Web of Science, ADS, Google Scholar
16. H. D. Politzer, Phys. Rep. 14, 129 (1974). ADS, Google Scholar
17. P. Goddard and D. I. Olive, Rep. Prog. Phys. 41, 1357 (1978). Web of Science, ADS, Google Scholar
18. F. J. Ernst, Phys. Rev. 167, 1175 (1968). Web of Science, ADS, Google Scholar
19. F. J. Ernst, Phys. Rev. 168, 1415 (1968). Web of Science, ADS, Google Scholar
20. H. Stephani, D. Kramer, M. A. H. MacCallum, C. Hoenselaers and E. Herlt, Exact Solutions of Einstein’s Field Equations (Cambridge University Press, 2003). Google Scholar
21. P. O. Mazur, Acta Phys. Pol. B 14, 219 (1983). Web of Science, Google Scholar
22. O. V. Kechkin, Phys. Part. Nucl. 35, 383 (2004). Web of Science, Google Scholar
23. A. Herrera-Aguilar and O. Kechkin, Int. J. Mod. Phys. A 13, 393 (1998). Link, Web of Science, ADS, Google Scholar
24. D. V. Galtsov and O. V. Kechkin, Phys. Rev. D 50, 7394 (1994). Web of Science, ADS, Google Scholar
25. D. V. Gal’tsov and O. V. Kechkin, Phys. Lett. B 361, 52 (1995). Web of Science, ADS, Google Scholar
26. O. V. Kechkin, Phys. Rev. D 65, 066006 (2002). Web of Science, ADS, Google Scholar
27. A. Herrera-Aguilar and O. Kechkin, Phys. Rev. D 59, 124006 (1999). Web of Science, ADS, Google Scholar
28. O. V. Kechkin, Phys. Lett. B 523, 323 (2001). Web of Science, ADS, Google Scholar
29. O. V. Kechkin, Phys. Lett. B 522, 166 (2001). Web of Science, ADS, Google Scholar