# Towards a novel no-hair theorem for black holes

@article{Hertog2006TowardsAN, title={Towards a novel no-hair theorem for black holes}, author={Thomas Hertog}, journal={Physical Review D}, year={2006}, volume={74}, pages={084008} }

We 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…

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