Black Hole Mass Formula Is a Vanishing Noether Charge

Details Black Hole Mass Formula Is a Vanishing Noether Charge Black Hole Mass Formula Is a Vanishing Noether Charge

2002-01-31

arxiv.org/abs/gr-qc/0201100v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

The Noether current and its variation relation with respect to diffeomorphism invariance of gravitational theories have been derived from the horizontal variation and vertical-horizontal bi-variation of the Lagrangian, respectively. For Einstein's GR in the stationary, axisymmetric black holes, the mass formula in vacuum can be derived from this Noether current although it definitely vanishes. This indicates that the mass formula of black holes is a vanishing Noether charge in this case. The first law of black hole thermodynamics can also be derived from the variation relation of this vanishing Noether current.

Affiliated with

Also associated with

No associations

Rating

Black Hole Mass Formula Is a Vanishing Noether Charge 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 Black Hole Mass Formula Is a Vanishing Noether Charge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Black Hole Mass Formula Is a Vanishing Noether Charge will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-163652