×

Corrected entropy law for charged and rotating black strings. (English) Zbl 1359.83035

Summary: The primary objective in this work is to study the corrected entropy law for charged and rotating black strings in asymptotically anti-de Sitter spacetime. By employing, the Hamilton-Jacobi approach, fermions tunneling beyond semiclassical approximation is investigated. The correction has been done by taking the proportionality parameters of quantum correction of action \(I_i\) to the semiclassical action \(I_0\) as \(2\pi\) times the inverse of the black string horizon area. Moreover, with the aid of corrected Hawking temperature we finally compute the corrected area law, which includes the logarithmic term and inverse area terms.

MSC:

83E30 String and superstring theories in gravitational theory
83C57 Black holes
94A17 Measures of information, entropy
Full Text: DOI

References:

[1] Bardeen, JM; Carter, B.; Hawking, SW, No article title, Comm. Math. Phys., 31, 161 (1973) · Zbl 1125.83309 · doi:10.1007/BF01645742
[2] Bekenstein, JD, No article title, Phys. Rev., D7, 2333 (1973)
[3] Bekenstein, JD, No article title, Phys. Rev., D9, 3292 (1974)
[4] Hawking, SW, No article title, Nature, 248, 30 (1974) · Zbl 1370.83053 · doi:10.1038/248030a0
[5] Hawking, SW, No article title, Comm. Math. Phys., 43, 199 (1975) · Zbl 1378.83040 · doi:10.1007/BF02345020
[6] Hawking, SW, No article title, Phys. Rev., D13, 191 (1976)
[7] Kaul, RK; Majumdar, P., No article title, Phys. Rev. Lett., 84, 5255 (2000) · doi:10.1103/PhysRevLett.84.5255
[8] Kloster, S.; Brannlund, J.; DeBenedicts, A., No article title, Class. Quant. Grav., 25, 065008 (2008) · Zbl 1137.83346 · doi:10.1088/0264-9381/25/6/065008
[9] Fursaev, DV, No article title, Phys. Rev., D51, 5352 (1995)
[10] Mann, RB; Solodukhin, SN, No article title, Nucl. Phys., B523, 293 (1998) · Zbl 0953.83015 · doi:10.1016/S0550-3213(98)00094-7
[11] Das, S.; Majumdar, P.; Bhaduri, RK, No article title, Class. Quant. Grav., 19, 2355 (2002) · Zbl 1003.83025 · doi:10.1088/0264-9381/19/9/302
[12] More, SS, No article title, Class. Quant. Grav., 22, 4129 (2005) · Zbl 1075.83524 · doi:10.1088/0264-9381/22/19/021
[13] Mukherjee, S.; Pal, SS, No article title, JHEP, 0205, 026 (2002) · doi:10.1088/1126-6708/2002/05/026
[14] Hooft, G., No article title, Int. J. Mod. Phys., A11, 4623 (1996) · Zbl 1044.81683 · doi:10.1142/S0217751X96002145
[15] Sarkar, S.; Shankaranarayanan, S.; Sriramkumar, L., No article title, Phys. Rev., D78, 024003 (2008)
[16] Carlip, S., No article title, Class. Quant. Grav., 17, 4175 (2000) · Zbl 0970.83026 · doi:10.1088/0264-9381/17/20/302
[17] Setare, M. R.: Eur. Phys. JC 33 (2004)
[18] Banerjee, R.; Majhi, BR, No article title, Phys. Lett., B662, 62 (2008) · Zbl 1282.83025 · doi:10.1016/j.physletb.2008.02.044
[19] Banerjee, R.; Majhi, BR; Samanta, S., No article title, Phys. Rev., D77, 124035 (2008)
[20] Banerjee, R.; Majhi, BR, No article title, JHEP, 06, 095 (2008) · doi:10.1088/1126-6708/2008/06/095
[21] Banerjee, R.; Majhi, BR, No article title, Phys. Rev., D79, 064024 (2009)
[22] Banerjee, R.; Modak, SK, No article title, JHEP, 05, 063 (2009) · doi:10.1088/1126-6708/2009/05/063
[23] Yuan, Y-Q; Zeng, X-X; Zhou, Z-J; Jin, L-P, No article title, Gen. Relativ. Gravit., 41, 2771 (2009) · Zbl 1181.83137 · doi:10.1007/s10714-009-0806-x
[24] Singh, TI; Meitei, IA; Singh, KY, No article title, Astrophys. Space Sci., 352, 737 (2014) · doi:10.1007/s10509-014-1927-6
[25] Modak, SK, No article title, Phys. Lett., B671, 167 (2009) · doi:10.1016/j.physletb.2008.11.043
[26] Akbar, M.; Saifullah, K., No article title, Eur. Phys. J., C67, 205 (2010) · doi:10.1140/epjc/s10052-010-1279-5
[27] Akbar, M.; Saifullah, K., No article title, Gen. Relativ. Gravit., 41, 933 (2011) · Zbl 1213.83080 · doi:10.1007/s10714-010-0962-z
[28] Sharif, M.; Javed, W., No article title, Astrophys. Space Sci., 337, 355 (2012) · Zbl 1238.83075 · doi:10.1007/s10509-011-0798-3
[29] Lin, K.; Yang, SZ, No article title, Int. J. Theor. Phys., 48, 2920 (2009) · Zbl 1177.83086 · doi:10.1007/s10773-009-0084-0
[30] Chen, Y-X; Li, J-L; Shao, K-N, No article title, EPL, 95, 10008 (2011) · doi:10.1209/0295-5075/95/10008
[31] Lemos, JPS, No article title, Class. Quant. Grav., 12, 1081 (1995) · Zbl 0825.53012 · doi:10.1088/0264-9381/12/4/014
[32] Lemos, JPS, No article title, Phys. Lett., B353, 46 (1995) · doi:10.1016/0370-2693(95)00533-Q
[33] Lemos, JPS; Zanchin, VT, No article title, Phys. Rev., D54, 3840 (1996)
[34] Dehghani, MH, No article title, Phys. Rev., D66, 044006 (2002)
[35] Zhao, R.; Ma, MS; Li, HF; Zhang, LC, No article title, Adv. High Energy Phys., 2013, 371084 (2013) · Zbl 1328.83118
[36] Fatima. A.; Saifullah, K., No article title, Astrophys. Space Sci., 341, 437 (2012) · Zbl 1284.83077 · doi:10.1007/s10509-012-1098-2
[37] Ahmed, J.; Saifullah, K., No article title, JCAP, 08, 011 (2011) · doi:10.1088/1475-7516/2011/08/011
[38] Ahmed, J.; Saifullah, K., No article title, JCAP, 11, 023 (2011) · doi:10.1088/1475-7516/2011/11/023
[39] Gohar, H.; Saifullah, K., No article title, Astrophys. Space Sci., 343, 181 (2013) · Zbl 1286.83058 · doi:10.1007/s10509-012-1255-7
[40] da Rocha, R.; Hoff da Silva, JM, No article title, EPL, 107, 50001 (2014) · doi:10.1209/0295-5075/107/50001
[41] Liu, X.; Liu, W., No article title, Astrophys Space Sci., 318, 219 (2008) · Zbl 1161.83374 · doi:10.1007/s10509-008-9918-0
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.