Moving Observers, Non-orthogonal Boundaries, and Quasilocal Energies

Details Moving Observers, Non-orthogonal Boundaries, and Quasilocal Energies Moving Observers, Non-orthogonal Boundaries, and Quasilocal Energies

1998-10-02

arxiv.org/abs/gr-qc/9810009v2

Phys.Rev.D59:064021,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 1 postscript figure, minor typos fixed, references updated, to appear PRD

Scientific paper

10.1103/PhysRevD.59.064021

The popular Hamilton-Jacobi method first proposed by Brown and York for defining quasilocal quantities such as energy for spatially bound regions assumes that the spatial boundary is orthogonal to the foliation of the spacetime. Such a restriction is undesirable for both theoretical and computational reasons. We remove the orthogonality assumption and show that it is more natural to focus on the foliation of the spatial boundary rather than the foliation of the entire spatially bound region. Reference spacetimes which define additional terms in the action are discussed in detail. To demonstrate this new formulation, we calculate the quasilocal energies seen by observers who are moving with respect to a Schwarzschild black hole.

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