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Black hole entropy function and the attractor mechanism in higher derivative gravity
Open accessAbstract
We study extremal black hole solutions in D dimensions with near horizon geometry AdS2 ? SD?2 in higher derivative gravity coupled to other scalar, vector and anti-symmetric tensor fields. We define an entropy function by integrating the lagrangian density over SD?2 for a general AdS2 ? SD?2 background, taking the Legendre transform of the resulting function with respect to the parameters labelling the electric fields, and multiplying the result by a factor of 2?. We show that the values of the scalar fields at the horizon as well as the sizes of AdS2 and SD?2 are determined by extremizing this entropy function with respect to the corresponding parameters, and the entropy of the black hole is given by the value of the entropy function at this extremum. Our analysis relies on the analysis of the equations of motion and does not directly make use of supersymmetry or specific structure of the higher derivative terms.
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Cited by
Davison, R. A., Fu, W., Georges, A., Gu, Y., Jensen, K., & Sachdev, S. (2017) · Physical Review B · doi:10.1103/physrevb.95.155131 · Cited by 438
Holographic gravitational anomalies
Kraus, P., & Larsen, F. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/01/022 · Cited by 261
Astefanesei, D., Goldstein, K., Jena, R. P., Sen, A., & Trivedi, S. P. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/10/058 · Cited by 259
Self-citationHartnoll, S. A., Lucas, A., & Sachdev, S. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1612.07324 · Cited by 258
The statistical mechanics of near-extremal black holes
Iliesiu, L. V., & Turiaci, G. J. (2021) · Journal of High Energy Physics · doi:10.1007/jhep05(2021)145 · Cited by 190
Metadata
- Authors
- Sen, A.
- Venue
- Journal of High Energy Physics
- Published
- 2005-09-14
- Volume
- 2005
- Issue
- 09
- Pages
- 038-038
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2075160313
- Cited by
- 515
- References
- 0
- FWCI
- 34.32
- Type
- journal article
- Language
- en
- Open access
- bronze
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