2020
DOI: 10.1007/s10714-020-02703-0
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The Hawking energy on photon surfaces

Abstract: The Hawking energy has a monotonicity property under the inverse mean curvature flow on totally umbilic hypersurfaces with constant scalar curvature in Einstein spaces. It grows if the hypersurface is spacelike, and decreases if it is timelike. Timelike examples include Minkowski and de Sitter hyperboloids, and photon surfaces in Schwarzschild.

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Cited by 3 publications
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“…The observer area distance d A , henceforth referred to as the effective angular diameter distance, 9 for a luminous astrophysical source is defined by [45, Eq. (6.27)]…”
Section: Photon Conservation Distance Measures and Redshift Driftmentioning
confidence: 99%
“…The observer area distance d A , henceforth referred to as the effective angular diameter distance, 9 for a luminous astrophysical source is defined by [45, Eq. (6.27)]…”
Section: Photon Conservation Distance Measures and Redshift Driftmentioning
confidence: 99%