The Hawking Energy on the Past Lightcone in Cosmology - INSPIRE

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The Hawking Energy on the Past Lightcone in Cosmology

Dennis Stock
(
- Bremen U., ZARM
)

Mar 30, 2020

19 pages

Published in:

Class.Quant.Grav. 37 (2020) 21, 215005

Published: Oct 10, 2020

e-Print:

2003.13583 [gr-qc]

DOI:

10.1088/1361-6382/aba182

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Abstract: (IOP)

This work studies the Hawking energy in a cosmological context. The past lightcone of a point in spacetime is the natural geometric structure closely linked to cosmological observations. By slicing the past lightcone into a one-parameter family of spacelike two-surfaces, the evolution of the Hawking energy down the lightcone is studied. Strong gravitational fields may generate lightcone self-intersections and wave front singularities. We show that in the presence of swallow-tail type singularities, the Hawking energy and its variation along the null generators of the lightcone remains well-defined and subsequently discuss its positivity and monotonicity.

Note:

matches published version

singularity
cosmological model
gravitation
space-time

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Figures(4)

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