Quasilocal energy in modified gravity

Abstract

A new generalization of the Hawking-Hayward quasilocal energy to scalar-tensor gravity is proposed without assuming symmetries, asymptotic flatness, or special spacetime metrics. The procedure followed is simple but powerful and consists of writing the scalar-tensor field equations as effective Einstein equations and then applying the standard definition of quasilocal mass.

Corrected an error and added a section on Einstein frame. Matches version published in Class. Quantum Grav

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Cited by in corpus (17)

• Fresh look at the scalar-tensor theory of gravity in Jordan and Einstein frames from undiscussed standpoints
• Strong Cosmic Censorship in Horndeski Theory
• Searching for dynamical black holes in various theories of gravity
• Hawking-Hayward quasi-local energy under conformal transformations
• New perspectives on the TOV equilibrium from a dual null approach
• Noether and Abbott-Deser-Tekin conserved quantities in scalar-tensor theory of gravity both in Jordan and Einstein frames
• Effects of modified gravity on the turnaround radius in cosmology
• More on the conformal mapping of quasi-local masses: The Hawking-Hayward case
• Asymptotic flatness and Hawking quasilocal mass
• Conformal mapping of the Misner-Sharp mass from gravitational collapse
• Charged cosmological black holes: a thorough study of a family of solutions
• A Critical Assessment of Black Hole Solutions With a Linear Term in Their Redshift Function
• Quasilocal mass in scalar-tensor gravity: spherical symmetry
• Spacetime mappings of the Brown-York quasilocal energy
• Quasilocal mass and multipole expansion in scalar-tensor gravity
• Turnaround radius in scalar-tensor gravity with quasilocal mass
• Turnaround Radius for charged particles in the Reissner-Nordström deSitter spacetime