Behavior of Quasilocal Mass Under Conformal Transformations
arXiv:gr-qc/9810033 · doi:10.1103/PhysRevD.59.044019
Abstract
We show that in a generic scalar-tensor theory of gravity, the ``referenced'' quasilocal mass of a spatially bounded region in a classical solution is invariant under conformal transformations of the spacetime metric. We first extend the Brown-York quasilocal formalism to such theories to obtain the ``unreferenced'' quasilocal mass and prove it to be conformally invariant. The appropriate reference term in this case is defined by generalizing the Hawking-Horowitz prescription, which was originally proposed for general relativity. For such a choice of reference term, the referenced quasilocal mass for a general spacetime solution is obtained. This expression is shown to be a conformal invariant provided the conformal factor is a monotonic function of the scalar field. We apply this expression to the case of static spherically symmetric solutions with arbitrary asymptotics to obtain the referenced quasilocal mass of such solutions. Finally, we demonstrate the conformal invariance of our quasilocal mass formula by applying it to specific cases of four-dimensional charged black hole spacetimes, of both the asymptotically flat and non-flat kinds, in conformally related theories.
LaTeX, 31 pages, one ps figure
References in corpus (2)
Cited by in corpus (18)
- Fresh look at the scalar-tensor theory of gravity in Jordan and Einstein frames from undiscussed standpoints
- The Hawking temperature of expanding cosmological black holes
- A program for a problem free Cosmology within a framework of a rich class of scalar tensor theories
- Three-Dimensional Gravity with Conformal Scalar and Asymptotic Virasoro Algebra
- Dilatonic interpolation between Reissner-Nordstrom and Bertotti-Robinson spacetimes with physical consequences
- Charged black holes in generalized dilaton-axion gravity
- On the Brown-York quasilocal energy, gravitational charge, and black hole horizons
- Hawking-Hayward quasi-local energy under conformal transformations
- N-Dimensional non-abelian dilatonic, stable black holes and their Born-Infeld extension
- Noether and Abbott-Deser-Tekin conserved quantities in scalar-tensor theory of gravity both in Jordan and Einstein frames
- Charged Scalar-Tensor Boson Stars: Equilibrium, Stability and Evolution
- Local free-fall Temperature of GMGHS Black Holes
- Conformal Properties of Charges in Scalar-Tensor Gravities
- New classes of black hole spacetimes in 2+1 gravity
- Quasilocal energy for rotating charged black hole solutions in general relativity and string theory
- Energy of general 4-dimensional stationary axisymmetric spacetime in the teleparallel geometry
- Spacetime mappings of the Brown-York quasilocal energy
- Boundary terms and Brown-York quasi-local parameters for scalar-tensor theory: a study on both timelike and null hypersurfaces