Rigidity of quasi-Einstein metrics: the incompressible case

DOI10.1007/s11005-023-01753-0arXiv2307.00738OpenAlexW4390411366MaRDI QIDQ6177595

Hari K. Kunduri, Sharmila Gunasekaran, Eric Woolgar, Eric Bahuaud

Publication date: 17 January 2024

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.00738

zbMATH Keywords

near-horizon geometryextreme black holesquasi-Einstein equation

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Cites Work

• Rigidity of quasi-Einstein metrics
• The nonexistence of quasi-Einstein metrics
• Some applications of the Hodge-de Rham decomposition to Ricci solitons
• Locally homogeneous non-gradient quasi-Einstein 3-manifolds
• Static near-horizon geometries and rigidity of quasi-Einstein manifolds
• Classification of near-horizon geometries of extremal black holes
• Sasaki-Einstein metrics on \(S^2\times S^3\)
• A new infinite class of Sasaki-Einstein manifolds
• Rigidity of compact static near-horizon geometries with negative cosmological constant
• INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS
• On non-existence of static vacuum black holes with degenerate components of the event horizon
• Compact Einstein warped product spaces with nonpositive scalar curvature
• On generalized quasi-Einstein manifolds

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