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arXiv · 2205.00907

Rectifying No-Hair Theorems in Gauss-Bonnet theory

Alexandros Papageorgiou·Chan Park·Miok Park
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Abstract

We revisit the no-hair theorems in Einstein-Scalar-Gauss-Bonnet theory with a general coupling function between the scalar and the Gauss-Bonnet term in four dimensional spacetime. In the case of the old no-hair theorem the surface term has so far been ignored, but this plays a crucial role when the coupling function does not vanish at infinity and the scalar field admits a power expansion with respect to the inverse of the radial coordinate in that regime. We also clarify that the novel no-hair theorem is always evaded for regular black hole solutions without any restrictions as long as the regularity conditions are satisfied.

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Alexandros Papageorgiou, Chan Park, Miok Park. 2022-05-02. Rectifying No-Hair Theorems in Gauss-Bonnet theory. https://arxiv.org/abs/2205.00907

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