Surface terms and the Gauss-Bonnet Hamiltonian

Details Surface terms and the Gauss-Bonnet Hamiltonian Surface terms and the Gauss-Bonnet Hamiltonian

2003-03-20

arxiv.org/abs/gr-qc/0303082v2

Class.Quant.Grav. 20 (2003) 3129-3150

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Version to appear in Classical and Quantum Gravity. Note that this version is 8 pages shorter than version 1, making it more s

Scientific paper

10.1088/0264-9381/20/14/315

We derive the gravitational Hamiltonian starting from the Gauss-Bonnet action, keeping track of all surface terms. This is done using the language of orthonormal frames and forms to keep things as tidy as possible. The surface terms in the Hamiltonian give a remarkably simple expression for the total energy of a spacetime. This expression is consistent with energy expressions found in hep-th/0212292. However, we can apply our results whatever the choice of background and whatever the symmetries of the spacetime.

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