# Static near-horizon geometries and rigidity of quasi-Einstein manifolds

@article{Bahuaud2022StaticNG,
title={Static near-horizon geometries and rigidity of quasi-Einstein manifolds},
author={Eric Bahuaud and Sharmila Arcot Gunasekaran and Hari K. Kunduri and Eric Woolgar},
journal={Letters in Mathematical Physics},
year={2022},
volume={112}
}
• Published 5 August 2022
• Mathematics
• Letters in Mathematical Physics
Static vacuum near-horizon geometries are solutions (M, g, X) of a certain quasi-Einstein equation on a closed manifold M, where g is a Riemannian metric and X is a closed 1-form. It is known that when the cosmological constant vanishes, there is rigidity: X vanishes and consequently g is Ricci-flat. We study this form of rigidity for all signs of the cosmological constant. It has been asserted that this rigidity also holds when the cosmological constant is negative, but we exhibit a counter…
2 Citations
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