Hawking-Hayward quasi-local energy under conformal transformations

Angus Prain; Vincenzo Vitagliano; Valerio Faraoni; Marianne Lapierre-Leonard

doi:10.1088/0264-9381/33/14/145008

Hawking-Hayward quasi-local energy under conformal transformations

Angus Prain
, Vincenzo Vitagliano^*
, Valerio Faraoni
, Marianne Lapierre-Leonard

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

We derive a formula describing the transformation of the Hawking-Hayward quasi-local energy under a conformal rescaling of the spacetime metric. A known formula for the transformation of the Misner-Sharp-Hernandez mass is recovered as a special case.

Original language	English
Article number	145008
Journal	Classical and Quantum Gravity
Volume	33
Issue number	14
Early online date	20 Jun 2016
DOIs	https://doi.org/10.1088/0264-9381/33/14/145008
Publication status	Published - 21 Jul 2016

Keywords

quasi-local energy
conformal transformations
black holes
BLACK-HOLE TEMPERATURE
GRAVITATIONAL ENERGY
EXPANDING UNIVERSE
GRAVITY
INFLATION
RADIATION
RADIUS

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abstract = "We derive a formula describing the transformation of the Hawking-Hayward quasi-local energy under a conformal rescaling of the spacetime metric. A known formula for the transformation of the Misner-Sharp-Hernandez mass is recovered as a special case.",

keywords = "quasi-local energy, conformal transformations, black holes, BLACK-HOLE TEMPERATURE, GRAVITATIONAL ENERGY, EXPANDING UNIVERSE, GRAVITY, INFLATION, RADIATION, RADIUS",

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AU - Vitagliano, Vincenzo

AU - Faraoni, Valerio

AU - Lapierre-Leonard, Marianne

PY - 2016/7/21

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AB - We derive a formula describing the transformation of the Hawking-Hayward quasi-local energy under a conformal rescaling of the spacetime metric. A known formula for the transformation of the Misner-Sharp-Hernandez mass is recovered as a special case.

KW - quasi-local energy

KW - conformal transformations

KW - black holes

KW - BLACK-HOLE TEMPERATURE

KW - GRAVITATIONAL ENERGY

KW - EXPANDING UNIVERSE

KW - GRAVITY

KW - INFLATION

KW - RADIATION

KW - RADIUS

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DO - 10.1088/0264-9381/33/14/145008

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VL - 33

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

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Hawking-Hayward quasi-local energy under conformal transformations

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Keywords

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