Mass of asymptotically anti-de Sitter hairy spacetimes

Abstract

In the standard asymptotic expansion of four dimensional static asymptotically flat spacetimes, the coefficient of the first subleading term of the lapse function can be identified with the mass of the spacetime. Using the Hamiltonian formalism we show that, in asymptotically locally anti-de Sitter spacetimes endowed with a scalar field, the mass can read off in the same way only when the boundary conditions are compatible with the asymptotic realization of the anti-de Sitter symmetry. In particular, this implies that some prescriptions for computing the mass of a hairy spacetime are not suitable when the scalar field breaks the asymptotic anti-de Sitter invariance.

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References in corpus (10)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Testing the general relativistic ''no-hair'' theorems using the galactic center black hole SgrA*
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Moduli flow and non-supersymmetric AdS attractors
• Exact Black Hole Formation in Asymptotically (A)dS and Flat Spacetimes
• Moduli and electromagnetic black brane holography
• Exact Collapse Solutions in D=4, N=4 Gauged Supergravity and Their Generalizations
• Conserved charges in gravitational theories: contribution from scalar fields
• On the thermodynamics of hairy black holes

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