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Surface configuration in $R + μ^{4} / R$ gravity

Mohsen Fathi

Department of Physics, Payame Noor University (PNU), P. O. Box 19395-3697 Tehran, Iran

E-mail Address: mohsen.fathi@gmail.com

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and

Morteza Mohseni

Department of Physics, Payame Noor University (PNU), P. O. Box 19395-3697 Tehran, Iran

E-mail Address: m-mohseni@pnu.ac.ir

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https://doi.org/10.1142/S0217732315501710Cited by:1 (Source: Crossref)

Abstract

We investigate the conditions on the additional constant $μ$ in the so-called $R + μ^{4} / R$ theory of gravity, due to existence of different kinds of space-like surfaces in both weak field and strong field limits, and their possible correspondence to black hole event horizons. Adopting a Schwarzschild limit, we probe the behavior of $μ$ in different contexts of radial and radial–rotational congruence of null geodesics. We show that these cases serve as correspondents to black hole horizons in some peculiar cases of study.

Keywords:

PACS: 04.20.Dw, 04.20.Fy, 04.20.Jb

References

1. D. Finkelstein, Phys. Rev. 110, 965 (1958). Crossref, Web of Science, ADS, Google Scholar
2. A. G. Riess et al., Astron. J. 116, 1009 (1998). Crossref, Web of Science, ADS, Google Scholar
3. S. Perlmutter et al., Astrophys. J. 517, 565 (1999). Crossref, Web of Science, ADS, Google Scholar
4. M. Persic, P. Salucci and F. Stel, Mon. Not. R. Astron. Soc. 281, 27 (1996). Crossref, Web of Science, ADS, Google Scholar
5. A. de la Cruz-Dombriz, A. Dobado and A. L. Maroto, J. Phys. Conf. Ser. 229, 012033 (2010). Crossref, ADS, Google Scholar
6. A. de la Cruz-Dombriz, A. Dobado and A. L. Maroto, Phys. Rev. D 80, 124011 (2009). Crossref, Web of Science, ADS, Google Scholar
7. Y. S. Myung, T. Moon and E. J. Son, Phys. Rev. D 83, 124009 (2011). Crossref, Web of Science, ADS, Google Scholar
8. A. M. Nzioki, R. Goswami and P. K. S. Dunsby, arXiv:1408.0152v2. Google Scholar
9. T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82, 451 (2010). Crossref, Web of Science, ADS, Google Scholar
10. S. Capozziello and M. Francaviglia, Gen. Relat. Gravit. 40, 357 (2008). Crossref, Web of Science, ADS, Google Scholar
11. O. Bertolami, C. G. Boehmer, T. Harko and F. S. N. Lobo, Phys. Rev. D 75, 104016 (2007). Crossref, Web of Science, ADS, Google Scholar
12. O. Bertolami and J. Paramos, Phys. Rev. D 77, 084018 (2008). Crossref, Web of Science, ADS, Google Scholar
13. V. Faraoni, Phys. Rev. D 80, 124040 (2009). Crossref, Web of Science, ADS, Google Scholar
14. A. A. Starobinsky, Phys. Lett. B 91, 99 (1980). Crossref, Web of Science, ADS, Google Scholar
15. S. Capozziello, Int. J. Mod. Phys. D 11, 483 (2002). Link, Web of Science, ADS, Google Scholar
16. S. Capozziello, S. Carloni and A. Troisi, Res. Dev. Astron. Astrophys. 1, 625 (2003). Web of Science, Google Scholar
17. S. Capozziello, V. F. Cardone, S. Carloni and A. Troisi, Int. J. Mod. Phys. D 12, 1969 (2003). Link, Web of Science, ADS, Google Scholar
18. S. M. Carroll, V. Duvvuri, M. Trodden and M. S. Turner, Phys. Rev. D 70, 043528 (2004). Crossref, Web of Science, ADS, Google Scholar
19. S. Nojiri and S. D. Odintsov, Phys. Rev. D 68, 123512 (2003). Crossref, Web of Science, ADS, Google Scholar
20. A. D. Dolgov and M. Kawasaki, Phys. Lett. B 573, 1 (2003). Crossref, Web of Science, ADS, Google Scholar
21. L. Amendola, D. Polarski and S. Tsujikawa, Phys. Rev. Lett. 98, 131302 (2007). Crossref, Web of Science, ADS, Google Scholar
22. L. Amendola, D. Polarski and S. Tsujikawa, Int. J. Mod. Phys. D 16, 1555 (2007). Link, Web of Science, ADS, Google Scholar
23. T. Chiba, Phys. Lett. B 575, 1 (2003). Crossref, Web of Science, ADS, Google Scholar
24. G. J. Olmo, Phys. Rev. Lett. 95, 261102 (2005). Crossref, Web of Science, ADS, Google Scholar
25. G. J. Olmo, Phys. Rev. D 72, 083505 (2005). Crossref, Web of Science, ADS, Google Scholar
26. I. Navarro and K. van Acoleyen, J. Cosmol. Astropart. Phys. 0702, 022 (2007). Crossref, Web of Science, ADS, Google Scholar
27. T. Chiba, T. L. Smith and A. L. Erickcek, Phys. Rev. D 75, 124014 (2007). Crossref, Web of Science, ADS, Google Scholar
28. S. Nojiri and S. D. Odintsov, Phys. Lett. B 657, 238 (2007). Crossref, Web of Science, ADS, Google Scholar
29. S. Nojiri and S. D. Odintsov, Phys. Rev. D 77, 026007 (2008). Crossref, Web of Science, ADS, Google Scholar
30. I. Sawicki and W. Hu, Phys. Rev. D 75, 127502 (2007). Crossref, Web of Science, ADS, Google Scholar
31. K. Saaidi, A. Vajdi and A. Aghamohammadi, Gen. Relat. Gravit. 42, 2421 (2010). Crossref, Web of Science, ADS, Google Scholar
32. K. Saaidi, A. Vajdi, S. W. Rabiei, A. Aghamohammadi and H. Sheikhahmadi, Astrophys. Space Sci. 337, 739 (2012). Crossref, Web of Science, ADS, Google Scholar
33. E. Poisson, A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics (Cambridge Univ. Press, 2004). Crossref, Google Scholar
34. A. K. Raychaudhuri, Phys. Rev. 98, 1123 (1955). Crossref, Web of Science, ADS, Google Scholar
35. R. Penrose, Phys. Rev. Lett. 14, 57 (1965). Crossref, Web of Science, ADS, Google Scholar
36. S. W. Hawking and R. Penrose, Proc. R. Soc. Lond. A 314, 529 (1970). Crossref, Web of Science, ADS, Google Scholar
37. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space–Time (Cambridge Univ. Press, 1973). Crossref, Google Scholar
38. C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation (Freeman, 1973). Google Scholar
39. I. Booth, Can. J. Phys. 83, 1073 (2005). Crossref, Web of Science, ADS, Google Scholar
40. A. B. Nielsen, Gen. Relat. Gravit. 41, 1539 (2009). Crossref, Web of Science, ADS, Google Scholar
41. E. Gourghoulhon and J. L. Jaramillo, New Astron. Rev. 51, 791 (2008). Crossref, Web of Science, ADS, Google Scholar
42. A. Ashtekar and G. J. Galloway, Adv. Theor. Math. Phys. 9, 1 (2005). Crossref, Web of Science, Google Scholar
43. I. Booth, L. Brits, J. A. Gonzalez and V. van den Broeck, Class. Quantum Grav. 23, 413 (2006). Crossref, Web of Science, ADS, Google Scholar
44. V. Faraoni, Galaxies 1, 114 (2013). Crossref, ADS, Google Scholar
45. S. M. Carroll, Spacetime and Geometry (Addison-Wesley, 2004). Google Scholar