Journal ArticleDOI
Surface Geometry of Charged Rotating Black Holes
TLDR
In this article, the authors examined the surface geometry of a charged rotating Kerr-Newman black hole and found that as the rotation rate of the black hole increases, the equatorial circumference increases while the polar circumference decreases.Abstract:
Invariant measures of the surface geometry of a charged rotating (Kerr-Newman) black hole are examined. It is shown that as the rotation rate of the black hole increases, the equatorial circumference increases while the polar circumference decreases. This is analogous to effects in material rotating bodies. The number of parameters describing a charged Kerr black hole drops from three to two on its surface. It is found that a scale parameter $\ensuremath{\eta}$ and a distortion parameter $\ensuremath{\beta}$ describe this geometry very simply. There emerge two classes of Kerr metrics separated by $\ensuremath{\beta}=\frac{1}{2}$. For larger $\ensuremath{\beta}$ the Gaussian curvature becomes negative on two polar-cap regions and the surface cannot be globally embedded in Euclidean 3-space. Possible physical effects are briefly discussed.read more
Citations
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Journal ArticleDOI
Isolated and dynamical horizons and their applications
Abhay Ashtekar,Badri Krishnan +1 more
TL;DR: A new, quasi-local framework was introduced to analyze diverse facets of black holes in a unified manner that has introduced a more physical setting for black hole thermodynamics, suggested a phenomenological model for hairy black holes, provided novel techniques to extract physics from numerical simulations, and led to new laws governing the dynamics ofblack holes in exact general relativity.
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Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article
TL;DR: The present status of the quasi-local mass-energy-momentum and angular momentum constructions in general relativity is reviewed.
Journal ArticleDOI
Quasi-Local Energy-Momentum and Angular Momentum in General Relativity.
TL;DR: The present status of the quasi-local mass, energy-Momentum and angular-momentum constructions in general relativity is reviewed.
Journal ArticleDOI
Construction and physical properties of Kerr black holes with scalar hair
Carlos A. R. Herdeiro,Eugen Radu +1 more
TL;DR: In this article, Herdeiro et al. presented a sample of reference solutions of the Kerr black hole with scalar hair and discussed properties of the ansatz, the field equations, the boundary conditions and the numerical strategy.
Journal ArticleDOI
Introduction to isolated horizons in numerical relativity
TL;DR: In this article, the authors present a coordinate-independent method for extracting the mass and angular momentum of a black hole in numerical simulations, based on the isolated horizon framework, which is applicable both at late times when the black hole has reached equilibrium, and at early times where the black holes are widely separated.