Results 21 to 30 of about 1,337 (262)
Uniform spectral gap and orthogeodesic counting for strong convergence of Kleinian groups
Forum of Mathematics, Sigma, 2023 We show convergence of small eigenvalues for geometrically finite hyperbolic n-manifolds under strong limits. For a class of convergent convex sets in a strongly convergent sequence of Kleinian groups, we use the spectral gap of the limit manifold and ...
Beibei Liu, Franco Vargas Pallete
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Rehabilitating space-times with NUTs
Physics Letters B, 2015 We revisit the Taub–NUT solution of the Einstein equations without time periodicity condition, showing that the Misner string is still fully transparent for geodesics.
Gérard Clément +2 more
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Journal of High Energy Physics, 2022 The string vertices of closed string field theory are subsets of the moduli spaces of punctured Riemann surfaces that satisfy a geometric version of the Batalin-Vilkovisky master equation.
Kevin Costello, Barton Zwiebach
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Closed simple geodesics on a polyhedron
, 2023 Abstract It is well-known that every isosceles tetrahedron (disphenoid) admits infinitely many simple closed geodesics on its surface. They can be naturally enumerated by pairs of coprime integers n > m > 1 with two additional cases (1, 0) and (1, 1).
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Closed geodesics in Lorentzian surfaces [PDF]
Transactions of the American Mathematical Society, 2012 Version accepted by the Trans. of the AMS.
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Hyperbolic compactification of M-theory and de Sitter quantum gravity
SciPost Physics, 2022 We present a mechanism for accelerated expansion of the universe in the generic case of negative-curvature compactifications of M-theory, with minimal ingredients. M-theory on a hyperbolic manifold with small closed geodesics supporting Casimir energy
G. Bruno De Luca, Eva Silverstein, Gonzalo Torroba
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Rotating traversable wormholes in Einstein-Maxwell theory
Physics Letters B, 2023 It is well-known that traversable wormhole solutions to the Einstein equations require the existence of an exotic matter source violating the null energy condition. An apparent exception is the overcharged Kerr-Newman-NUT solution of the Einstein-Maxwell
Gérard Clément, Dmitri Gal'tsov
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Unduloids and their Closed Geodesics
, 2012 We construct explicit parametrizations in terms of elliptic functions for unduloids depending on a parameter. We then use these parametrizations to study geodesics on unduloids. In particular, we use Maple to find interesting closed geodesics on unduloids.
Mladenov, Ivaïlo, Oprea, John
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A Morse lemma for degenerate critical points with low differentiability
Abstract and Applied Analysis, 2000 We prove a Morse type lemma for, possibly degenerate, critical points of a C1 function twice strongly differentiable at those points, which allows us to recover, for Finsler metrics, the theorem of Gromoll and Meyer on the existence of infinitely many ...
Adriano A. de Moura, Fausto M. de Souza
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Stability of closed timelike geodesics
Physics Letters A, 2007 5 pages, REvTex, discussion added.
Rosa, V. M., Letelier, P. S.
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