Hawking-Hayward quasi-local energy under conformal transformations

Angus Prain; Marianne Lapierre-L\'eonard; Valerio Faraoni; Vincenzo Vitagliano

Hawking-Hayward quasi-local energy under conformal transformations

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arxiv 1501.02977 v1 pith:Z6PUWHPM submitted 2015-01-13 gr-qc

Angus Prain , Vincenzo Vitagliano , Valerio Faraoni , Marianne Lapierre-Léonard This is my paper · ORCID

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keywords conformalenergyformulahawking-haywardquasi-localtransformationundercase

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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.

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Thermodynamic parameters of fluids on conformally connected spacetimes
gr-qc 2025-05 conditional novelty 6.0 of 10

For conformally related Einstein spacetimes, equilibrium fluid temperature and chemical potential both scale as the inverse conformal factor, preserving the ratio μ/T.

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