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Journal Article

Mass of asymptotically anti-de Sitter hairy spacetimes

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Astefanesei,  Dumitru
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1407.3296.pdf
(Preprint), 162KB

PhysRevD.91_041501.pdf
(Any fulltext), 131KB

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Citation

Anabalon, A., Astefanesei, D., & Martinez, C. (2015). Mass of asymptotically anti-de Sitter hairy spacetimes. Physical Review D, 91(4): 041501. doi:10.1103/PhysRevD.91.041501.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0024-9885-7
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.