Ninth Alexander Friedmann International Seminar on Gravitation and CosmologyOpen Access

Extending the geometric deformation: New black hole solutions

Jorge Ovalle

Jorge Ovalle

Abdus Salam International Center for Theoretical Physics (ICTP), Strada Costiera 11, Trieste 34014, Italy

Dipartimento di Fisica e Astronomia, Alma Mater Università di Bologna, Bologna 40126, Italy

Departamento de Física, Universidad Simón Bolívar, Apartado 89000, Caracas 1080A, Venezuela

E-mail Address: jovalle@usb.ve

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https://doi.org/10.1142/S2010194516601320Cited by:67 (Source: Crossref)

Abstract

By using the extension of the Minimal Geometric Deformation approach, recently developed to investigate the exterior spacetime of a self-gravitating system in the Braneworld, we identified a master solution for the deformation undergone by the radial metric component when time deformations are produced by bulk gravitons. A specific form for the temporal deformation is used to generate a new exterior solution with a tidal charge $Q$ $Q$ . The main feature of this solution is the presence of higher-order terms in the tidal charge, thus generalizing the well known tidally charged solution. The horizon of the black hole lies inside the Schwarzschild radius, $h < r_{s} = 2 ℳ$ , indicating that extra-dimensional effects weaken the gravitational field.

Keywords:

PACS: 11.25.−w, 04.50.−h, 04.50.Gh

References

1. E. Bergshoeff, O. Hohm and P. K. Townsend, Phys. Rev. Lett. 102, 201301 (2009). Crossref, ADS, Google Scholar
2. C. de Rham, Living Rev. Relativity 17, 7 (2014). Crossref, ADS, Google Scholar
3. N. Chow and J. Khoury, Phys. Rev. D 80, 024037 (2009). Crossref, ADS, Google Scholar
4. A. De Felice and S. Tsujikawa, Living Rev. Rel. 13, 3 (2010). Crossref, ADS, Google Scholar
5. T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82, 451 (2010). Crossref, ADS, Google Scholar
6. S. Capozziello and M. De Laurentis, Phys. Rept. 509, 167 (2011). Crossref, ADS, Google Scholar
7. S. Capozziello, V. F. Cardone and A. Troisi, Phys. Rev. D 71, 043503 (2005). Crossref, ADS, Google Scholar
8. T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, Phys. Rept. 513, 1 (2012). Crossref, ADS, Google Scholar
9. P. Horava, Phys. Rev. D 79, 084008 (2009). Crossref, ADS, Google Scholar
10. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999). Crossref, ADS, Google Scholar
11. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999). Crossref, ADS, Google Scholar
12. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Lett. B 429, 263 (1998). Crossref, ADS, Google Scholar
13. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Lett. B 436, 257 (1998). Crossref, ADS, Google Scholar
14. T. Shiromizu, K. Maeda and M. Sasaki, Phys. Rev. D 62, 024012 (2000). Crossref, ADS, Google Scholar
15. C. Germani and R. Maartens, Phys. Rev. D 64, 124010 (2001). Crossref, ADS, Google Scholar
16. R. da Rocha and J. M. Hoff da Silva, Phys. Rev. D 85, 046009 (2002). Crossref, Google Scholar
17. R. Casadio, A. Fabbri and L. Mazzacurati, Phys. Rev. D 65, 084040 (2002). Crossref, ADS, Google Scholar
18. P. Kanti and K. Tamvakis, Phys. Rev. D 65, 084010 (2002). Crossref, ADS, Google Scholar
19. G. Kofinas, E. Papantonopoulos and V. Zamarias, Phys. Rev. D 66, 104028 (2002). Crossref, ADS, Google Scholar
20. G. Kofinas, E. Papantonopoulos and I. Pappa, Phys. Rev. D 66, 104014 (2002). Crossref, ADS, Google Scholar
21. L. A. Gergely, Phys. Rev. D 68, 124011 (2003). Crossref, ADS, Google Scholar
22. L. A. Gergely, Phys. Rev. D 78, 084006 (2003). Crossref, Google Scholar
23. R. Casadio and L. Mazzacurati, Mod. Phys. Lett. A 18, 651 (2003). Link, ADS, Google Scholar
24. P. Kanti, I. Olasagasti and K. Tamvakis, Phys. Rev. D 68, 124001 (2003). Crossref, Google Scholar
25. M. Visser and D. L. Wiltshire, Phys. Rev. D 67, 104004 (2003). Crossref, ADS, Google Scholar
26. A. S. Majumdar and N. Mukherjee, Int. J. Mod. Phys. D 14, 1095 (2005). Link, ADS, Google Scholar
27. S. Creek, R. Gregory, P. Kanti and B. Mistry, Class. Quantum Grav. 23, 6633 (2006). Crossref, ADS, Google Scholar
28. L. A. Gergely, J. Cosmol. Astropart. Phys. 02, 027 (2007). Crossref, ADS, Google Scholar
29. R. Casadio and O. Micu, Phys. Rev. D 81, 104024 (2010). Crossref, Google Scholar
30. R. Maartens and K. Koyama, Living Rev. Rel. 13, 5 (2010). Crossref, ADS, Google Scholar
31. D. C. Dai and D. Stojkovic, Phys. Lett. B 704, 354 (2011). Crossref, Google Scholar
32. R. da Rocha and J.M. Hoff da Silva, Phys. Rev. D 85, 046009 (2012). Crossref, Google Scholar
33. S. Abdolrahimi, C. Catton, D. N. Page and S. Yaghoobpour-Tari, Phys. Lett. B 720, 405 (2013). Crossref, Google Scholar
34. D. Bazeia, J. M. Hoff da Silva and R. da Rocha, Phys. Rev. D 90, 047902 (2014). Crossref, Google Scholar
35. T. Harko and M. J. Lake, Phys. Rev. D 89, 064038 (2014). Crossref, Google Scholar
36. L. B. Castro, M. D. Alloy and D. P. Menezes, JCAP 1408, 047 (2014). Crossref, Google Scholar
37. T. Harko and M. J. Lake, Phys. Rev. D 89, 064038 (2014). Crossref, Google Scholar
38. S. Chakraborty and S. SenGupta, Eur. Phys. J. C 75, 11 (2015). Crossref, ADS, Google Scholar
39. F. X. Linares, M. A. Garcia-Aspeitia and L. A. Urea-Lopez, Phys. Rev. D 92, 024037 (2015). Crossref, ADS, Google Scholar
40. J. Ovalle, Braneworld stars: anisotropy minimally projected onto the brane, in Gravitation and Astrophysics (ICGA9), ed. J. Luo (World Scientific, Singapore, 2010), p. 173. Google Scholar
41. J. Ovalle, Mod. Phys. Lett. A 23, 3247 (2008). Link, ADS, Google Scholar
42. J. Ovalle, Int. J. Mod. Phys. D 18, 837 (2009). Link, ADS, Google Scholar
43. J. Ovalle, Mod. Phys. Lett. A 25, 3323 (2010). Link, ADS, Google Scholar
44. J. Ovalle, Effects of density gradients on braneworld stars, in Proceedings of the Twelfth Marcel Grossmann Meeting on General Relativity, eds. T. Damour, R. T. Jantzen and R. Ruffini (World Scientific, Singapore, 2012), p. 2243. Google Scholar
45. N. Dadhich, R. Maartens, P. Papadopoulos and V. Rezania, Phys. Lett. B 487, 1 (2000). Crossref, ADS, Google Scholar
46. R. Casadio and J. Ovalle, Phys. Lett. B, 715, 251 (2012). Crossref, ADS, Google Scholar
47. R. Casadio and J. Ovalle, Gen. Relat. Grav. 46, 1669 (2014). Crossref, ADS, Google Scholar
48. J. Ovalle and F. Linares, Phys. Rev. D 88, 104026 (2013). Crossref, ADS, Google Scholar
49. J. Ovalle, F. Linares, A. Pasqua and A. Sotomayor, Class. Quantum Grav. 30, 175019 (2013). Crossref, ADS, Google Scholar
50. L. A. Gergely, Phys. Rev. D 78, 084006 (2008). Crossref, ADS, Google Scholar
51. R. Casadio, J. Ovalle and R. da Rocha, Class. Quantum Grav. 30, 175019 (2014). Google Scholar
52. J. Ovalle, L. A. Gergely and R. Casadio, Class. Quantum Grav. 32, 045015 (2015). Crossref, Google Scholar
53. R. Casadio, J. Ovalle and R. da Rocha, Europhys. Lett. 110, 40003 (2015). Crossref, ADS, Google Scholar
54. R. Casadio, J. Ovalle and R. da Rocha, Class. Quantum Grav. 32, 215020 (2015). Crossref, ADS, Google Scholar
55. M. K. Mak and T. Harko, Phys. Rev. D 70, 024010 (2004). Crossref, ADS, Google Scholar
56. C. G. Boehmer and T. Harko, Class. Quantum. Grav. 24, 3191 (2007). Crossref, ADS, Google Scholar
57. L. A. Gergely, T. Harko, M. Dwornik, G. Kupi and Z. Keresztes, Mon. Not. R. Astron. Soc. 415, 3275 (2011). Crossref, Google Scholar
58. C. Germani, M. Bruni and R. Maartens, Phys. Rev. Lett. 87, 1 (2001). Crossref, Google Scholar
59. R. Emparan, A. Fabbri and N. Kaloper, J. High Energy Phys. 2002, 043 (2002). Crossref, Google Scholar
60. T. Wiseman, Phys. Rev. D 65 124007 (2002). Crossref, ADS, Google Scholar

Vol. 41

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History

Received 3 October 2015

Revised 23 October 2015

Published: 18 March 2016

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This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited.

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Extending the geometric deformation: New black hole solutions

Abstract

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