Mass of dyonic black holes and entropy super-additivity
Abstract
We study extremal static dyonic black holes in four-dimensional Einstein–Maxwell–Dilaton theory, for general values of the constant a in the exponential coupling eaΦ of the dilaton to the Maxwell kinetic term. Explicit solutions are known only for a = 0, a = 1 and a=$$\sqrt3$$, and for general a when the electric and magnetic charges Q and P are equal. We obtain solutions as power series expansions around Q = P, in terms of a small parameter c=a-1 log(Q/P). Using these, and also solutions constructed numerically, we test a relation between the mass and the charges that had been conjectured long ago by Rasheed. We find that although the conjecture is not exactly correct it is in fact quite accurate for a wide range of the black hole parameters. We investigate some improved conjectures for the mass relation. We also study the circumstances under which entropy super-additivity, which is related to Hawking's area theorem, is violated. This extends beyond previous examples exhibited in the literature for the particular case of a=$$\sqrt3$$ dyonic black holes.
- Authors:
-
[3];
[4]
- Beijing Normal University (China)
- Lehigh Univ., Bethlehem, PA (United States)
- Tianjin Univ., Tianjin (China)
- Texas A & M Univ., College Station, TX (United States); Univ. of Cambridge (United Kingdom)
- Publication Date:
- Research Org.:
- Texas A & M Univ., College Station, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1611527
- Grant/Contract Number:
- SC0010813
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Classical and Quantum Gravity
- Additional Journal Information:
- Journal Volume: 36; Journal Issue: 14; Journal ID: ISSN 0264-9381
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics
Citation Formats
Geng, Wei-Jian, Giant, Blake, Lü, H., and Pope, C. N. Mass of dyonic black holes and entropy super-additivity. United States: N. p., 2019.
Web. doi:10.1088/1361-6382/ab26e8.
Geng, Wei-Jian, Giant, Blake, Lü, H., & Pope, C. N. Mass of dyonic black holes and entropy super-additivity. United States. https://doi.org/10.1088/1361-6382/ab26e8
Geng, Wei-Jian, Giant, Blake, Lü, H., and Pope, C. N. Fri .
"Mass of dyonic black holes and entropy super-additivity". United States. https://doi.org/10.1088/1361-6382/ab26e8. https://www.osti.gov/servlets/purl/1611527.
@article{osti_1611527,
title = {Mass of dyonic black holes and entropy super-additivity},
author = {Geng, Wei-Jian and Giant, Blake and Lü, H. and Pope, C. N.},
abstractNote = {We study extremal static dyonic black holes in four-dimensional Einstein–Maxwell–Dilaton theory, for general values of the constant a in the exponential coupling eaΦ of the dilaton to the Maxwell kinetic term. Explicit solutions are known only for a = 0, a = 1 and a=$\sqrt3$, and for general a when the electric and magnetic charges Q and P are equal. We obtain solutions as power series expansions around Q = P, in terms of a small parameter c=a-1 log(Q/P). Using these, and also solutions constructed numerically, we test a relation between the mass and the charges that had been conjectured long ago by Rasheed. We find that although the conjecture is not exactly correct it is in fact quite accurate for a wide range of the black hole parameters. We investigate some improved conjectures for the mass relation. We also study the circumstances under which entropy super-additivity, which is related to Hawking's area theorem, is violated. This extends beyond previous examples exhibited in the literature for the particular case of a=$\sqrt3$ dyonic black holes.},
doi = {10.1088/1361-6382/ab26e8},
journal = {Classical and Quantum Gravity},
number = 14,
volume = 36,
place = {United States},
year = {Fri Jun 21 00:00:00 EDT 2019},
month = {Fri Jun 21 00:00:00 EDT 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 3 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Higher-dimensional resolution of dilatonic black-hole singularities
journal, February 1995
- Gibbons, G. W.; Horowitz, Gary T.; Townsend, P. K.
- Classical and Quantum Gravity, Vol. 12, Issue 2
Non-extreme black holes from non-extreme intersecting M-branes
journal, October 1996
- Cvetic, M.
- Nuclear Physics B, Vol. 478, Issue 1-2
Dyonic dilaton black holes
journal, July 1995
- Poletti, S. J.; Twamley, J.; Wiltshire, D. L.
- Classical and Quantum Gravity, Vol. 12, Issue 7
The N = 8 supergravity theory. I. The lagrangian
journal, December 1978
- Cremmer, E.; Julia, B.
- Physics Letters B, Vol. 80, Issue 1-2
The black branes of M-theory
journal, August 1996
- Duff, M. J.; Lü, H.; Pope, C. N.
- Physics Letters B, Vol. 382, Issue 1-2
Dualisation of dualities II: twisted self-duality of doubled fields and superdualities
journal, December 1998
- Cremmer, E.; Julia, B.; Lü, H.
- Nuclear Physics B, Vol. 535, Issue 1-2
The rotating dyonic black holes of Kaluza-Klein theory
journal, November 1995
- Rasheed, Dean
- Nuclear Physics B, Vol. 454, Issue 1-2
Dilatonic dyon black hole solutions
journal, July 2015
- Abishev, M. E.; Boshkayev, K. A.; Dzhunushaliev, V. D.
- Classical and Quantum Gravity, Vol. 32, Issue 16
Massive string states as extreme black holes
journal, February 1995
- Duff, M. J.; Rahmfeld, J.
- Physics Letters B, Vol. 345, Issue 4
Topology, entropy, and Witten index of dilaton black holes
journal, March 1995
- Gibbons, G. W.; Kallosh, R. E.
- Physical Review D, Vol. 51, Issue 6
p-brane solitons in maximal supergravities
journal, April 1996
- Lü, H.; Pope, C. N.
- Nuclear Physics B, Vol. 465, Issue 1-2
Black holes in Kaluza-Klein theory
journal, March 1986
- Gibbons, G. W.; Wiltshire, D. L.
- Annals of Physics, Vol. 167, Issue 1
Rotating Kaluza–Klein black holes
journal, May 2000
- Larsen, Finn
- Nuclear Physics B, Vol. 575, Issue 1-2
Charged dilatonic ads black holes and magnetic AdS D−2 × R 2 vacua
journal, September 2013
- Lü, H.
- Journal of High Energy Physics, Vol. 2013, Issue 9
Black holes and membranes in higher-dimensional theories with dilaton fields
journal, March 1988
- Gibbons, G. W.; Maeda, Kei-ichi
- Nuclear Physics B, Vol. 298, Issue 4
Extremal black holes as bound states
journal, April 1996
- Rahmfeld, J.
- Physics Letters B, Vol. 372, Issue 3-4
Killing horizons: Negative temperatures and entropy super-additivity
journal, November 2018
- Cvetič, M.; Gibbons, G. W.; Lü, H.
- Physical Review D, Vol. 98, Issue 10
AdS dyonic black hole and its thermodynamics
journal, November 2013
- Lü, H.; Pang, Yi; Pope, C. N.
- Journal of High Energy Physics, Vol. 2013, Issue 11
Four-dimensional string/ string/ string triality
journal, January 1996
- Duff, M. J.; Liu, James T.; Rahmfeld, J.
- Nuclear Physics B, Vol. 459, Issue 1-2
Dualisation of dualities
journal, July 1998
- Cremmer, E.; Julia, B.; Lü, H.
- Nuclear Physics B, Vol. 523, Issue 1-2
Charged Dilatonic AdS Black Holes and Magnetic AdS_{D-2} x R^2 Vacua
text, January 2013
- Lu, H.
- arXiv
Dilatonic dyon black hole solutions
preprint, January 2015
- Abishev, M. E.; Boshkayev, K. A.; Dzhunushaliev, V. D.
- arXiv
Killing Horizons: Negative Temperatures and Entropy Super-Additivity
text, January 2018
- Cvetic, M.; Gibbons, G. W.; Lu, H.
- arXiv
Four Dimensional String/String/String Triality
text, January 1995
- Duff, M. J.; Liu, James T.; Rahmfeld, J.
- arXiv