Mechanics of rotating isolated horizons

By Abhay Ashtekar, C. Beetle, J. Lewandowski. 2001

231 citations recorded by the source corpus.

Black hole mechanics was recently extended by replacing the more commonly used event horizons in stationary space-times with isolated horizons in more general space-times (which may admit radiation arbitrarily close to black holes). However, so far the detailed analysis has been restricted to nonrotating black holes (although it incorporated arbitrary distortion, as well as electromagnetic, Yang-Mills, and dilatonic charges). We now fill this gap by first introducing the notion of isolated horizon angular momentum and then extending the first law to the rotating case.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a551726bdbf9dd53d420634e78a853a978512033

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Citations in the corpus

A 3+1 perspective on null hypersurfaces and isolated horizons (2005, methodology): “11) In the considered non-extremal case, the general form of such a WIH symmetry is given by (see Section III in [12]) W= cWl+ bWS , (8.”
Some uniqueness results for dynamical horizons (2005, background): “On physical grounds [3, 4, 10], one often requires that the intrinsic connection and matter fields be also time-independent.”
Introduction to isolated horizons in numerical relativity (2002, methodology): “If, in a neighborhood of ∆, there were a spacetime rotational Killing vector φ that approached φ at ∆, then the above formula for J∆ would be equal to the Komar integral calculated for φ [12].”
Isolated and Dynamical Horizons and Their Applications (2004, methodology): “First, there exist expressions for mass and angular momentum of dynamical and isolated horizons which enable one to monitor dynamical processes occurring in the simulations [28] and extract properties of the final equilibrium state [13, 72].”
Black hole entropy from the SU(2)-invariant formulation of type I isolated horizons (2010, background): “The general treatment and derivation of the first law can be found in [19, 21].”
Geometry of Generic Isolated Horizons (2001, methodology): “) The notion of ‘isolation’ provided by this condition suffices to show that the zeroth and the first laws of black hole mechanics can be extended to WIHs [7,8].”
Multipole moments of isolated horizons (2004, methodology): “If S happens to be a cross-section of ∆, as one would expect, one can recast this expression in terms of the fields defined by the isolated horizon geometry, making no reference at all to the partial Cauchy surface M [11]:”