Deformation of extremal black holes from stringy interactions
Abstract
Black holes are a powerful setting for studying general relativity and theories beyond GR. However, analytical solutions for rotating black holes in beyond-GR theories are difficult to find because of the complexity of such theories. In this paper, we solve for the deformation to the near-horizon extremal Kerr metric due to two example string-inspired beyond-GR theories: Einstein-dilaton-Gauss-Bonnet and dynamical Chern-Simons theory. We accomplish this by making use of the enhanced symmetry group of NHEK and the weak-coupling limit of EdGB and dCS. We find that the EdGB metric deformation has a curvature singularity, while the dCS metric is regular. From these solutions, we compute orbital frequencies, horizon areas, and entropies. This sets the stage for analytically understanding the microscopic origin of black hole entropy in beyond-GR theories.
Additional Information
© 2018 American Physical Society. (Received 5 February 2018; published 9 April 2018) The authors would like to thank Yanbei Chen, Jutta Kunz, Yiqiu Ma, Zachary Mark, Marika Taylor, Nicolás Yunes, Peter Zimmerman, and an anonymous referee for useful conversations. L. C. S. acknowledges the support of National Science Foundation Grant No. PHY–1404569, and both authors acknowledge the support of the Brinson Foundation. Some calculations used the computer algebra system Mathematica, in combination with the xAct/xTensor suite [42,43].Attached Files
Published - PhysRevD.97.084012.pdf
Submitted - 1802.02159.pdf
Files
1802.02159.pdf
Additional details
Identifiers
- Eprint ID
- 85700
- Resolver ID
- CaltechAUTHORS:20180409-160805020
Related works
- Describes
- https://arxiv.org/abs/1802.02159 (URL)
Funding
- NSF
- PHY-1404569
- Brinson Foundation
Dates
- Created
-
2018-04-09Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- TAPIR , Walter Burke Institute for Theoretical Physics