Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Existence of CMC Cauchy surfaces in cosmological spacetimes
CMC (constant mean curvature) Cauchy surfaces play an important role in mathematical relativity. For example, finding solutions to the vacuum Einstein constraint equations is simplified by assuming CMC initial data. In this talk, we review and extend some results concerning the existence (and nonexistence) of CMC Cauchy surfaces in cosmological spacetimes, i.e., Lorentzian manifolds with compact Cauchy surfaces satisfying the strong energy condition (Ricci nonnegative on timelike vectors). We will also consider the case of a positive cosmological constant. This talk is based on joint work with Greg Galloway and with Argam Ohanya
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