Abstract
The evolution of scalar, electromagnetic and gravitational fields around spherically symmetric black hole surrounded by quintessence are studied with special interest on the late-time behavior. In the ring down stage of evolution, we find in the evolution picture that the fields decay more slowly due to the presence of quintessence. As the quintessence parameter \(\epsilon \) decreases, the decay of \(\ell =0\) mode of scalar field gives up the power-law form of decay and relaxes to a constant residual field at asymptotically late times. The \(\ell >0\) modes of scalar, electromagnetic and gravitational fields show a power-law decay for large values of \(\epsilon \), but for smaller values of \(\epsilon \) they give way to an exponential decay.
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Price, R.H.: Phys. Rev. D 5, 2419 (1972a)
Price, R.H.: Phys. Rev. D 5, 2439 (1972b)
Gundlach, C., Price, R.H., Pullin, J.: Phys. Rev. D 49, 883 (1994)
Hod, S., Piran, T.: Phys. Rev. D 58, 024017 (1998)
Hod, S., Piran, T.: Phys. Rev. D 58, 024018 (1998)
Hod, S., Piran, T.: Phys. Rev. D 58, 024019 (1998)
Hod, S., Piran, T.: Phys. Rev. D. 58, 044018 (1998)
Varghese, N., Kuriakose, V.C.: Gen. Relativ. Gravit. 43, 2757 (2011)
Koyama, H., Tomimatsu, A.: Phys. Rev. D. 63, 064032 (2001)
Konoplya, R.A., Zhidenko, A., Molina, C.: Phys. Rev. D. 75, 084004 (2007)
Cardoso, V., Yoshida, S., Dias, O.J.C., Lemos, J.P.S.: Phys. Rev. D. 68, 061503(R) (2003)
Abdalla, E., Konoplya, R.A., Molina, C.: Phys. Rev. D. 72, 084006 (2005)
Brady, P.R., Poisson, E.: Class. Quantum Gravit. 9, 121 (1992)
Chambers, C.M., Moss, I.G.: Phys. Rev. Lett. 73, 617 (1994)
Brady, P.R., Chambers, C.M., Krivan, W., Laguna, P.: Phys. Rev. D 55, 7538 (1997)
Brady, P.R., Chambers, C.M., Laarakkers, W.G., Poisson, E.: Phys. Rev. D 60, 064003 (1999)
Molina, C., Giugno, D., Abdalla, E., Saa, A.: Phys. Rev. D 69, 104013 (2004)
Nollert, H.P.: Class. Quantum Gravit. 16, R159 (1999)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)
Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582 (1998)
Kiselev, V.V.: Class. Quantum Gravit. 20, 1187 (2003)
Chen, S., Jing, J.: Class. Quantum Gravit. 22, 4651 (2005)
Ma, C., Guy, Y., Wnag, W., Wang, F.: Cent. Eur. J. Phys. 6(2), 194 (2008)
Zhang, Y., Gui, Y.X.: Class. Quantum Gravit. 23, 6141 (2006)
Zhang, Y., Gui, Yu.: F., Li, F. Gen. Relativ. Gravit. 39, 1003 (2007)
Zhang, Y., et al.: Chin. Phys. Lett. 26, 030401 (2009)
Varghese, N., Kuriakose, V.C.: Gen. Relativ. Gravit. 41, 1249 (2008)
Saleh, M., et al.: Chin. Phys. Lett. 26, 109802 (2009)
Wang, C.Y., Yu, Z., Xing, G.Y., Jian-Bo, L.: Commun. Theor. Phys. (Beijing, China) 53, 882 (2010)
Xi, P.: Astrophys. Space Sci. 321, 47 (2009)
Ruffini, R.: In: Black Holes: les Astres Occlus. Gordon and Breach, New York (1973)
Regge, T., Wheeler, J.A.: Phys. Rev. 108, 1063 (1957)
Edelstein, L.A., Vishveshwara, C.V.: Phys. Rev. 1, 3514 (1970)
Ching, E.S.C., Leung, P.T., Suen, W.M., Young, K.: Phys. Rev. Lett. 74, 2414 (1995)
Ching, E.S.C., Leung, P.T., Suen, W.M., Young, K.: Phys. Rev. D. 52, 2118 (1995)
Hod, S.: Class. Quantum Gravit. 18, 1311 (2001)
Brady, P.R., Moss, I.G., Myers, R.C.: Phys. Rev. Lett. 80, 3432 (1998)
Acknowledgments
NV wishes to thank UGC, New Delhi for financial support under RFSMS scheme. VCK is thankful to CSIR, New Delhi for financial support under Emeritus Scientistship scheme and wishes to acknowledge Associateship of IUCAA, Pune, India.
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Varghese, N., Kuriakose, V.C. Late-time tails of fields around Schwarzschild black hole surrounded by quintessence. Gen Relativ Gravit 45, 189–201 (2013). https://doi.org/10.1007/s10714-012-1463-z
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DOI: https://doi.org/10.1007/s10714-012-1463-z