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

19 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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title = "Hawking-Hayward quasi-local energy under conformal transformations",

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 - Prain, Angus

AU - Vitagliano, Vincenzo

AU - Faraoni, Valerio

AU - Lapierre-Leonard, Marianne

PY - 2016/7/21

Y1 - 2016/7/21

N2 - 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.

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

U2 - 10.1088/0264-9381/33/14/145008

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

M3 - Article

SN - 0264-9381

VL - 33

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 14

M1 - 145008

ER -

Hawking-Hayward quasi-local energy under conformal transformations

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Keywords

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