Geometry of Generic Isolated Horizons

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

217 citations recorded by the source corpus.

Geometrical structures intrinsic to non-expanding, weakly-isolated and isolated horizons are analysed and compared with structures which arise in other contexts within general relativity, e.g. at null infinity. In particular, we address in detail the issue of singling out the preferred normals to these horizons required in various applications. This study provides powerful tools to extract invariant, physical information from numerical simulations of the near-horizon, strong-field geometry. While it complements the previous analysis of laws governing the mechanics of weakly-isolated horizons, prior knowledge of those results is not assumed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a72046dab4243e9ba686d3a5df00b864bf8b1853

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Citations in the corpus

Black hole entropy from the SU(2)-invariant formulation of type I isolated horizons (2010, background): “Then it follows that LlK 1 = 0, (22) a condition that is also valid for the so called weakly isolated horizons [16].”
Introduction to isolated horizons in numerical relativity (2002, methodology): “Given φ and ωa (defined in equation (3)), the isolated horizon angular momentum J∆ is defined as the surface term at ∆ in the Hamiltonian which generates diffeomorphisms along a rotational vector field which is equal to φ at the horizon [13].”
Symmetries and charges of general relativity at null boundaries (2018, methodology): “We note that the Killing supertranslation subalgebra t can be defined under the slightly weaker hypothesis that the region of N is weakly isolated in the sense of Ashtekar [57], which implies that it is shear and expansion free, satisfies eqs.”
Isolated and Dynamical Horizons and Their Applications (2004, background): “However the required equivalence class is not unique, whence a NEH admits distinct WIH structures [14].”
A 3+1 perspective on null hypersurfaces and isolated horizons (2005, methodology): “Following the procedure in the isolated horizon literature [13,111], we introduce the following tensor on H: S := ∗∇k , (7.”
Mechanics of rotating isolated horizons (2001, background): “Let us now assume that κ(l) is non-zero and discuss the preferred foliation of ∆ (for further details and a discussion of global subtleties, see [6]).”