The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.
Appearance of coordinate shocks in hyperbolic formalisms of general relativity , volume=
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3+1 BSSN simulations find the critical overdensity threshold for PBH collapse in radiation era lies between 0.77 and 0.83.
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A Physicist's Visit to Exotic Spheres
The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.
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Primordial Black Holes in a Radiation-Dominated Universe
3+1 BSSN simulations find the critical overdensity threshold for PBH collapse in radiation era lies between 0.77 and 0.83.