More on the conformal mapping of quasi-local masses: The Hawking-Hayward case
arXiv:1611.03484 · doi:10.1088/0264-9381/33/23/235016
Abstract
The conformal transformation of the Hawking-Hayward quasi-local mass is reexamined. It has been found recently that the conformal transformation of the latter exhibits the 'wrong' conformal factor compared to the way usual masses transform under conformal transformations of spacetime. We show, in analogy with what was found recently for the Misner-Sharp mass, that unlike the purely geometric definition of the Hawking-Hayward mass, the latter exhibits the 'right' conformal factor whenever expressed in terms of its material content via the field equations. The case of conformally invariant scalar-tensor theories of gravity is also examined. The equivalence between the Misner-Sharp mass and the Hawking-Hayward mass for spherically symmetric spacetimes manifests itself by giving identical peculiar behaviors under conformal transformations.
arXiv comment22 pages
References in corpus (15)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- f(R) theories
- Unified first law of black-hole dynamics and relativistic thermodynamics
- Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
- Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
- Quasi-Local Gravitational Energy
- Friedmann Equations and Thermodynamics of Apparent Horizons
- Illusions of general relativity in Brans-Dicke gravity
- The omega-tends-to-infinity limit of Brans-Dicke theory
- Quasi-local first law of black-hole dynamics
- Conformally rescaled spacetimes and Hawking radiation
- Hawking-Hayward quasi-local energy under conformal transformations
- Horizon thermodynamics and spacetime mappings
- Quasilocal energy in modified gravity
- A Logarithmic Correction in the Entropy Functional Formalism
Cited by in corpus (14)
- Fresh look at the scalar-tensor theory of gravity in Jordan and Einstein frames from undiscussed standpoints
- Noether charge and black hole entropy in teleparallel gravity
- 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
- Revisiting black holes and wormholes under Weyl transformations
- Revisiting wormhole energy conditions in Riemann-Cartan spacetimes and under Weyl transformations
- More on spacetime thermodynamics in the light of Weyl transformations
- Black hole mechanics and thermodynamics in the light of Weyl transformations
- Revisiting the Schrödinger-Dirac equation
- Quasilocal mass in scalar-tensor gravity: spherical symmetry
- Spacetime mappings of the Brown-York quasilocal energy
- Turnaround radius in scalar-tensor gravity with quasilocal mass
- Turnaround Radius for charged particles in the Reissner-Nordström deSitter spacetime
- What can we learn from the conformal noninvariance of the Klein-Gordon equation?