Bulletin of the American Physical Society
APS April Meeting 2023
Volume 68, Number 6
Minneapolis, Minnesota (Apr 15-18)
Virtual (Apr 24-26); Time Zone: Central Time
Session F04: Geometric Analysis in RelativityInvited
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Sponsoring Units: DGRAV Chair: David Garfinkle, Oakland University Room: MG Salon C - 3rd Floor |
Sunday, April 16, 2023 8:30AM - 9:06AM |
F04.00001: TBD Invited Speaker: Paul Allen
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Sunday, April 16, 2023 9:06AM - 9:42AM |
F04.00002: Black Lenses in Kaluza-Klein Matter Invited Speaker: Marcus Khuri We present the first examples of formally asymptotically flat black hole solutions with horizons of general lens space topology L(p,q). These 5-dimensional static/stationary spacetimes are regular on and outside the event horizon for any choice of relatively prime integers 1≤q<p, in particular conical singularities are absent.They are supported by Kaluza-Klein matter fields arising from higher dimensional vacuum solutions through reduction on tori. The technique is sufficiently robust that it leads to the explicit construction of regular solutions, in any dimension, realising the full range of possible topologies for the horizon as well as the domain of outer communication, that are allowable with multi-axisymmetry. Lastly, as a by product, we obtain new examples of regular gravitational instantons in higher dimensions. |
Sunday, April 16, 2023 9:42AM - 10:18AM |
F04.00003: Equality in the spacetime positive mass theorem Invited Speaker: Lan-Hsuan Huang The equality case of the spacetime positive mass theorem says that an asymptotically flat initial data set with the dominant energy condition and the null ADM energy-momentum must isometrically embed into Minkowski space. Previous proofs either used spinor methods, relied on the Jang equation, or assumed three spatial dimensions. We provide a new proof using the variational property of a family of modified Regge-Teitelboim functionals. Counterexamples in higher dimensions will also be discussed. This talk is based on joint work with Dan Lee. |
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