Towards a novel no-hair theorem for black holes | Zendy

Thomas Hertog | Zendy

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Towards a novel no-hair theorem for black holes

Author(s) -

Thomas Hertog

Publication year - 2006

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Language(s) - English

Resource type - Journals

eISSN - 1550-7998

pISSN - 1550-2368

DOI - 10.1103/physrevd.74.084008

Subject(s) - scalar (mathematics) , string theory , scalar field , physics , mathematical physics , black hole (networking) , general relativity , energy condition , theoretical physics , conjecture , scalar theories of gravitation , pure mathematics , mathematics , geometry , classical field theory , computer network , routing protocol , routing (electronic design automation) , computer science , link state routing protocol

25 pages, 11 figuresWe provide strong numerical evidence for a new no-scalar-hair theorem for black holes in general relativity, which rules out spherical scalar hair of static four dimensional black holes if the scalar field theory, when coupled to gravity, satisfies the Positive Energy Theorem. This sheds light on the no-scalar-hair conjecture for Calabi-Yau compactifications of string theory, where the effective potential typically has negative regions but where supersymmetry ensures the total energy is always positive. In theories where the scalar tends to a negative local maximum of the potential at infinity, we find the no-scalar-hair theorem holds provided the asymptotic conditions are invariant under the full anti-de Sitter symmetry group

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