Spinors and the reference point of quasilocal energy

Details Spinors and the reference point of quasilocal energy Spinors and the reference point of quasilocal energy

1994-09-13

arxiv.org/abs/gr-qc/9409022v2

Class.Quant.Grav.12:1063-1079,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, title changed and minor revisions made based on referees' Reports, to appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/12/4/013

This paper investigates the relationship between the quasilocal energy of Brown and York and certain spinorial expressions for gravitational energy constructed from the Witten-Nester integral. A key feature of the Brown-York method for defining quasilocal energy is that it allows for the freedom to assign the reference point of the energy. When possible, it is perhaps most natural to reference the energy against flat space, i.e. assign flat-space the zero value of energy. It is demonstrated that the Witten-Nester integral when evaluated on solution spinors to the Sen-Witten equation (obeying appropriate boundary conditions) is essentially the Brown-York quasilocal energy with a reference point determined by the Sen-Witten spinors. For the case of round spheres in the Schwarzschild geometry, these spinors determine the flat-space reference point. A similar viewpoint is proposed for the Schwarzschild-case quasilocal energy of Dougan and Mason.

Affiliated with

Also associated with

No associations

Rating

Spinors and the reference point of quasilocal energy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spinors and the reference point of quasilocal energy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spinors and the reference point of quasilocal energy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-190277