A new formula for conserved charges of Lovelock gravity in AdS space–times and its generalization
2020 ◽
Vol 35
(20)
◽
pp. 2050102
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Keyword(s):
Within the framework of the Lovelock gravity theory, we propose a new rank-four divergenceless tensor consisting of the Riemann curvature tensor and inheriting its algebraic symmetry characters. Such a tensor can be adopted to define conserved charges of the Lovelock gravity theory in asymptotically anti-de Sitter (AdS) space–times. Besides, inspired with the case of the Lovelock gravity, we put forward another general fourth-rank tensor in the context of an arbitrary diffeomorphism invariant theory of gravity described by the Lagrangian constructed out of the curvature tensor. On basis of the newly-constructed tensor, we further suggest a Komar-like formula for the conserved charges of this generic gravity theory.
2016 ◽
Vol 13
(01)
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pp. 1650002
2016 ◽
Vol 25
(10)
◽
pp. 1650055
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1984 ◽
Vol 23
(10)
◽
pp. 1001-1008
2021 ◽
2018 ◽