Charges and Energy in Chern-Simons Theories and Lovelock Gravity

Details Charges and Energy in Chern-Simons Theories and Lovelock Gravity Charges and Energy in Chern-Simons Theories and Lovelock Gravity

2003-08-07

arxiv.org/abs/gr-qc/0308019v1

Class.Quant.Grav. 20 (2003) 5103-5120

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages

Scientific paper

10.1088/0264-9381/20/23/010

Starting from the SO(2,2n) Chern-Simons form in (2n+1) dimensions we calculate the variation of conserved quantities in Lovelock gravity and Lovelock-Maxwell gravity through the covariant formalism developed in gr-qc/0305047. Despite the technical complexity of the Lovelock Lagrangian we obtain a remarkably simple expression for the variation of the charges ensuing from the diffeomorphism covariance of the theory. The viability of the result is tested in specific applications and the formal expression for the entropy of Lovelock black holes is recovered.

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