×

Electromagnetic partner of the gravitational signal during accretion onto black holes. (English) Zbl 1308.83086

Summary: We investigate the generation of electromagnetic and gravitational radiation in the vicinity of a perturbed Schwarzschild black hole. The gravitational perturbations and the electromagnetic field are studied by solving the Teukolsky master equation with sources, which we take to be locally charged, radially infalling, matter. Our results show that, in addition to the gravitational wave generated as the matter falls into the black hole, there is also a burst of electromagnetic radiation. This electromagnetic field has a characteristic set of quasinormal frequencies, and the gravitational radiation has the quasinormal frequencies of a Schwarzschild black hole. This scenario allows us to compare the gravitational and electromagnetic signals that are generated by a common source.

MSC:

83C57 Black holes
83C10 Equations of motion in general relativity and gravitational theory
83C35 Gravitational waves
78A25 Electromagnetic theory (general)
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] Abbott, B.P. et al.: Rep. Prog. Phys. 72, 076901 (2009). arXiv:0711.3041
[2] Bode, T., Haas, R., Bogdanovic, T., Laguna, P., Shoemaker, D.: Astrophys. J. 715, 1117 (2010). arXiv:0912.0087
[3] Singer, L.P., Price, L.R., Farr, B., Urban, A.L., Pankow, C. et al.: (2014). arXiv:1404.5623
[4] Stubbs, C.W.: Class. Quantum Gravity 25, 184033 (2008). arXiv:0712.2598
[5] Mosta, P., Palenzuela, C., Rezzolla, L., Lehner, L., Yoshida, S., et al.: Phys. Rev. D 81, 064017 (2010). arXiv:0912.2330
[6] Palenzuela, C, Anderson, M., Lehner, L., Liebling, S. L., Neilsen, D.: (2009). arXiv:0905.1121
[7] Palenzuela, C., Lehner, L., Yoshida, S.: Phys. Rev. D 81, 084007 (2010). arXiv:0911.3889
[8] Moesta, P., Alic, D., Rezzolla, L., Zanotti, O., Palenzuela, C.: Astrophys. J. 749, L32 (2012). arXiv:1109.1177
[9] Sotani, H., Kokkotas, K.D., Laguna, P., Sopuerta, C.F.: Phys. Rev. D 87, 084018 (2013). arXiv:1303.5641
[10] Sotani, H., Kokkotas, K.D., Laguna, P., Sopuerta, C.F.: Gen. Relativ. Gravit. 46, 1675 (2014). arXiv:1402.0251
[11] Alcubierre, M., Degollado, J.C., Salgado, M.: Phys. Rev. D 80, 104022 (2009). arXiv:0907.1151
[12] Zilhao, M., Cardoso, V., Herdeiro, C., Lehner, L., Sperhake, U.: Phys. Rev. D 85, 124062 (2012). arXiv:1205.1063
[13] Zilhao, M., Cardoso, V., Herdeiro, C., Lehner, L., Sperhake, U.: (2013). arXiv:1311.6483
[14] Shakura, N.; Sunyaev, R., No article title, Astron. Astrophys., 24, 337 (1973)
[15] de Diego, J. A., Dultzin-Hacyan, D., Trejo, J. G., Nunez, D.: (2004). arXiv:astro-ph/0405237
[16] Degollado, J.C., Nunez, D., Palenzuela, C.: Gen. Relativ. Gravit. 42, 1287 (2010). arXiv:0903.2073
[17] Nunez, D., Degollado, J.C., Palenzuela, C.: Phys. Rev. D 81, 064011 (2010). arXiv:1002.2227
[18] Nunez, D., Degollado, J.C., Moreno, C.: Phys. Rev. D 84, 024043 (2011). arXiv:1107.4316
[19] Teukolsky, SA, No article title, Astrophys. J., 185, 635 (1973) · doi:10.1086/152444
[20] Newman, E.T., Penrose, R.: J. Math. Phys. 3, 566 (1962), erratum in J. Math. Phys. 4, 998 (1963)
[21] Newman, ET; Penrose, R., No article title, J. Math. Phys., 7, 863 (1966) · doi:10.1063/1.1931221
[22] Chandrasekhar, S.: The Mathematical Theory of Black Holes. Oxford University Press, Oxford (1983) · Zbl 0511.53076
[23] Degollado, J.C., Nunez, D.: AIP Conference Proceedings, vol. 1473, p. 3 (2011)
[24] Goldberg, J.; MacFarlane, A.; Newman, E.; Rohrlich, F.; Sudarshan, E., No article title, J. Math. Phys., 8, 2155 (1967) · Zbl 0155.57402 · doi:10.1063/1.1705135
[25] Cunningham, CT; Price, RH; Moncrief, V., No article title, Astrophys. J., 224, 643 (1978) · doi:10.1086/156413
[26] Berti, E., Cardoso, V., Starinets, A.O.: Class. Quantum Gravity 26, 163001 (2009). arXiv:0905.2975
[27] Konoplya, R., Zhidenko, A.: Rev. Mod. Phys. 83, 793 (2011). arXiv:1102.4014
[28] Chandrasekhar, S.; Detweiler, S., No article title, R. Soc. Lond. Proc. Ser. A, 344, 441 (1975) · doi:10.1098/rspa.1975.0112
[29] Price, RH, No article title, Phys. Rev. D, 5, 2419 (1972) · doi:10.1103/PhysRevD.5.2419
[30] Leaver, E., No article title, Proc. R. Soc. Lond. A, 402, 285 (1985) · doi:10.1098/rspa.1985.0119
[31] Kokkotas, K.D., Schmidt, B.G.: Living Rev. Rel. 2, 2 (1999). arXiv:gr-qc/9909058
[32] Vishveshwara, C., No article title, Nature, 227, 936 (1970) · doi:10.1038/227936a0
[33] Papadopoulos, P., Font, J.A.: Phys. Rev. D 59, 044014 (1999). arXiv:gr-qc/9808054
[34] Sotani, H., Saijo, M.: Phys. Rev. D 74, 024001 (2006). arXiv:gr-qc/0507030
[35] Nagar, A., Zanotti, O., Font, J.A., Rezzolla, L.: Phys. Rev. D 75, 044016 (2007). arXiv:gr-qc/0610131
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.