×

GUP-corrected black hole thermodynamics and the maximum force conjecture. (English) Zbl 1398.83057

Summary: We show that thermodynamics for an asymptotically flat Schwarzschild black hole leads to a force of magnitude \(c^4 /(2 G)\). This remains true if one considers the simplest form of correction due to the generalized uncertainty principle. We comment on the maximum force conjecture, the subtleties involved, as well as the discrepancies with previous results in the literature.

MSC:

83C57 Black holes
80A10 Classical and relativistic thermodynamics

References:

[1] Da̧browski, Mariusz P.; Gohar, Hussain, Abolishing the maximum tension principle, Phys. Lett. B, 748, 428, (2015) · Zbl 1345.83044
[2] Easson, Damien A.; Frampton, Paul H.; Smoot, George F., Entropic accelerating universe, Phys. Lett. B, 696, 273, (2011)
[3] Verlinde, Erik P., On the origin of gravity and the laws of Newton, J. High Energy Phys., 1104, (2011) · Zbl 1260.81284
[4] Myung, Yun Soo, Entropic force in the presence of black hole · Zbl 1377.83095
[5] Kobakhidze, Archil, Gravity is not an entropic force, Phys. Rev. D, 83, (2011) · Zbl 1151.83347
[6] Kobakhidze, Archil, Once more: gravity is not an entropic force · Zbl 1151.83347
[7] Yang, Rong-Jia, Is gravity entropic force?, Entropy, 16, 4483, (2014)
[8] Carroll, Sean M.; Remmen, Grant N., What is the entropy in entropic gravity?, Phys. Rev. D, 93, (2016)
[9] Gibbons, Garry, The maximum tension principle in general relativity, Found. Phys., 32, 1891, (2002)
[10] Schiller, Christoph, General relativity and cosmology derived from principle of maximum power or force, Int. J. Theor. Phys., 44, 1629, (2005) · Zbl 1119.83338
[11] Barrow, John; Gibbons, Garry, Maximum tension: with and without a cosmological constant, Mon. Not. R. Astron. Soc., 446, 3874-3877, (2014)
[12] Maggiore, Michele, A generalized uncertainty principle in quantum gravity, Phys. Lett. B, 304, 65, (1993)
[13] Maggiore, Michele, Quantum groups, gravity, and the generalized uncertainty principle, Phys. Rev. D, 49, 5182, (1994)
[14] Scardigli, Fabio, Generalized uncertainty principle in quantum gravity from micro-black hole gedanken experiment, Phys. Lett. B, 452, 39, (1999)
[15] Adler, Ronald J.; Santiago, David I., On gravity and the uncertainty principle, Mod. Phys. Lett. A, 14, 1371, (1999)
[16] Adler, Ronald J.; Chen, Pisin; Santiago, David I., The generalized uncertainty principle and black hole remnants, Gen. Relativ. Gravit., 33, 2101, (2001) · Zbl 1003.83020
[17] Solodukhin, Sergey N., Entropy of Schwarzschild black hole and string-black hole correspondence, Phys. Rev. D, 57, 2410, (1998)
[18] Kaul, Romesh K.; Majumdar, Parthasarathi, Logarithmic correction to the bekenstein-Hawking entropy, Phys. Rev. Lett., 84, 5255, (2000)
[19] Das, Saurya; Majumdar, Parthasarathi; Bhaduri, Rajat K., General logarithmic corrections to black hole entropy, Class. Quantum Gravity, 19, 2355, (2002) · Zbl 1003.83025
[20] Ghosh, Amit; Mitra, Parthasarathi, On the log correction to the black hole area law, Phys. Rev. D, 71, (2005) · Zbl 1247.83088
[21] Ong, Yen Chin, Generalized uncertainty principle, black holes, and white dwarfs: a tale of two infinities · Zbl 1527.83060
[22] Tawfik, Abdel Nasser; Diab, Abdel Magied, Black hole corrections due to minimal length and modified dispersion relation, Int. J. Mod. Phys. A, 30, (2015) · Zbl 1319.83019
[23] Alonso-Serrano, Ana; Dabrowski, Mariusz P.; Gohar, Hussain, Generalized uncertainty principle impact onto the black holes information flux and the sparsity of Hawking radiation, Phys. Rev. D, 97, (2018)
[24] Ong, Yen Chin, Zero mass remnant as an asymptotic state of Hawking evaporation
[25] Scardigli, Fabio; Casadio, Roberto, Gravitational tests of the generalized uncertainty principle, Eur. Phys. J. C, 75, 425, (2015)
[26] Good, Michael R. R.; Ong, Yen Chin, Are black holes springlike?, Phys. Rev. D, 91, (2015) · Zbl 1388.83450
[27] Chen, Pisin; Wang, Chiao-Hsuan, Where is ħ hiding in entropic gravity?
[28] Cai, Yi-Fu; Liu, Jie; Li, Hong, Entropic cosmology: a unified model of inflation and late-time acceleration, Phys. Lett. B, 690, 213, (2010)
[29] Komatsu, Nobuyoshi; Kimura, Shigeo, Non-adiabatic-like accelerated expansion of the late universe in entropic cosmology, Phys. Rev. D, 87, (2013)
[30] Da̧browski, Mariusz P.; Gohar, H.; Salzano, Vincenzo, Varying constants entropic-λCDM cosmology, Entropy, 18, 60, (2016)
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.