In physics, a Killing horizon is a geometrical construct used in general relativity and its generalizations to delineate spacetime boundaries without reference to the dynamic Einstein field equations. Mathematically a Killing horizon is a null hypersurface defined by the vanishing of the norm of a Killing vector field (both are named after Wilhelm Killing).[1] It can also be defined as a null hypersurface generated by a Killing vector, which in turn is null at that surface.
After Hawking showed that quantum field theory in curved spacetime (without reference to the Einstein field equations) predicted that a black hole formed by collapse will emit thermal radiation, it became clear that there is an unexpected connection between spacetime geometry (Killing horizons) and thermal effects for quantum fields. In particular, there is a very general relationship between thermal radiation and spacetimes that admit a one-parameter group of isometries possessing a bifurcate Killing horizon, which consists of a pair of intersecting null hypersurfaces that are orthogonal to the Killing field.[2]
^Reall, Harvey (2008). black holes(PDF). p. 17. Archived from the original (PDF) on 2015-07-15. Retrieved 2015-07-15.
^Kay, Bernard S.; Wald, Robert M. (August 1991). "Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon". Physics Reports. 207 (2): 49-136. Bibcode:1991PhR...207...49K. doi:10.1016/0370-1573(91)90015-E.
In physics, a Killinghorizon is a geometrical construct used in general relativity and its generalizations to delineate spacetime boundaries without...
include: The Cauchy and Killinghorizons. The photon spheres and ergospheres of the Kerr solution. Particle and cosmological horizons relevant to cosmology...
A cosmological horizon is a measure of the distance from which one could possibly retrieve information. This observable constraint is due to various properties...
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black hole whose event horizon is a Killinghorizon. The surface gravity κ {\displaystyle \kappa } of a static Killinghorizon is the acceleration, as...
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Examples of null hypersurfaces include a light cone, a Killinghorizon, and the event horizon of a black hole. Galloway, Gregory (2000), "Maximum Principles...
rotating uncharged axially symmetric black hole with a quasispherical event horizon. The Kerr metric is an exact solution of the Einstein field equations of...
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and does so by killing the vast majority of the Horizon personnel. 106 fights with the task force to clear out several black sites, Horizon facilities that...
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represent black hole horizons via stationary solutions of field equations, i.e., solutions which admit a time-translational Killing vector field everywhere...
(via the relativistic rotation of its Killing vector). The negative-energy particle then crosses the event horizon into the black hole, with the law of...
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