Energy and Angular Momentum in Generic F(Riemann) Theories

Abstract

We construct the conserved charge of generic gravity theories built on arbitrary contractions of the Riemann tensor (but not on its derivatives) for asymptotically (anti)-de Sitter spacetimes. Our construction is a generalization of the ADT charges of linear and quadratic gravity theories in cosmological backgrounds. As an explicit example we find the energy and angular momentum of the BTZ black hole in the 2+1 dimensional Born-Infeld gravity.

7 pages

References in corpus (6)

• Born-Infeld extension of new massive gravity
• c-functions in the Born-Infeld extended New Massive Gravity
• Unitarity analysis of general Born-Infeld gravity theories
• All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions
• Chern-Simons Modified General Relativity: Conserved charges
• Another proof of the positive energy theorem in gravity

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