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Title: Generalized Couch-Torrence symmetry for rotating extremal black holes in maximal supergravity

Journal Article · · Physical Review. D.

The extremal Reissner-Nordström black hole admits a conformal inversion symmetry, in which the metric is mapped into itself under an inversion of the radial coordinate combined with a conformal rescaling. In the rotating generalization, Couch and Torrence showed that the Kerr-Newman metric no longer exhibits a conformal inversion symmetry, but the radial equation arising in the separation of the massless Klein-Gordon equation admits a mode-dependent inversion symmetry, where the radius of inversion depends upon the energy and azimuthal angular momentum of the mode.

Research Organization:
Univ. of Pennsylvania, Philadelphia, PA (United States); Texas A & M Univ., College Station, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0013528; FG02-13ER42020; SC0010813
OSTI ID:
1671155
Alternate ID(s):
OSTI ID: 1684629
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Vol. 102 Journal Issue: 8; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (15)

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Black holes in N = 8 supergravity from SO(4,4) hidden symmetries journal July 2014
Stability and Instability of Extreme Reissner–Nordström Black Hole Spacetimes for Linear Scalar Perturbations II journal May 2011
Greybody factors for rotating black holes in four dimensions journal November 1997
Gaussian null coordinates for rotating charged black holes and conserved charges journal March 2020
On the horizon instability of an extreme Reissner-Nordström black hole journal March 2013
Embedding AdS black holes in ten and eleven dimensions journal October 1999
Entropy of nonextreme charged rotating black holes in string theory journal August 1996
Charged rotating black holes in four-dimensional gauged and ungauged supergravities journal June 2005
Supergravity book May 2012
Dyonic BPS saturated black holes of heterotic string on a six-torus journal January 1996
Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations I journal May 2011

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