Quasilocal mass in scalar–tensor gravity: spherical symmetry

2020/05/31 by Andrea Giusti, Valerio Faraoni
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Circular symmetry #Cosmology and Gravitation Theories #Gauge (firearms) #Gauge theory #General relativity #Generalization #Noncommutative and Quantum Gravity Theories #Symmetry (geometry) #gr-qc #math-ph #math.MP #msc:83C40 #msc:83C57 #msc:83D05 #msc:83F05

paper · pdf · doi:10.1088/1361-6382/aba845

11 pages, no figures, to appear in Class.Quant.Grav

openalex created_date 2020/05/13 · openalex publication_date 2020/07/22 · arxiv created 2020/07/24 · arxiv updated 2020/07/27 · openalex updated_date 2026/08/05

Abstract

Abstract A recent generalization of the Hawking–Hayward quasilocal energy to scalar–tensor gravity is adapted to general spherically symmetric geometries. It is then applied to several black hole and other spherical solutions of scalar–tensor and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mrow> <mml:mi mathvariant="script">R</mml:mi> </mml:mrow> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> </mml:math> gravity. The relations of this quasilocal energy with the Abreu–Nielsen–Visser gauge and the Kodama vector are discussed.

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