Results 1 to 10 of about 912,180 (214)
Advances in Nonlinear Analysis, 2023 In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics.
López Enrique +2 more
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Diameter Estimate in Geometric Flows
Mathematics, 2023 We prove the upper and lower bounds of the diameter of a compact manifold (M,g(t)) with dimRM=n(n≥3) and a family of Riemannian metrics g(t) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ricci flow,
Shouwen Fang, Tao Zheng
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Gradient flow of Einstein-Maxwell theory and Reissner-Nordström black holes
Journal of High Energy Physics, 2023 Ricci flow is a natural gradient flow of the Einstein-Hilbert action. Here we consider the analog for the Einstein-Maxwell action, which gives Ricci flow with a stress tensor contribution coupled to a Yang-Mills flow for the Maxwell field.
Davide De Biasio +3 more
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Masking singularities in Weyl gravity and Ricci flows
European Physical Journal C: Particles and Fields, 2021 Within vacuum Weyl gravity, we obtain a solution by which, using different choices of the conformal factor, we derive metrics describing (i) a bounce of the universe; (ii) toroidal and spherical wormholes; and (iii) a change in metric signature.
Vladimir Dzhunushaliev +1 more
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European Physical Journal C: Particles and Fields, 2021 We develop an approach to the theory of relativistic geometric flows and emergent gravity defined by entropy functionals and related statistical thermodynamics models. Nonholonomic deformations of G.
Sergiu I. Vacaru +2 more
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The Homology of Warped Product Submanifolds of Spheres and Their Applications
Mathematics, 2023 The aim of the current article is to formulate sufficient conditions for the Laplacian and a gradient of the warping function of a compact warped product submanifold Σβ1+β2 in a unit sphere Sd that provides trivial homology and fundamental groups.
Lamia Saeed Alqahtani +3 more
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Strings in bimetric spacetimes
Journal of High Energy Physics, 2021 We put forward a two-dimensional nonlinear sigma model that couples (bosonic) matter fields to topological Hořava gravity on a nonrelativistic worldsheet. In the target space, this sigma model describes classical strings propagating in a curved spacetime
Ziqi Yan
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European Physical Journal C: Particles and Fields, 2020 This work consists an introduction to the classical and quantum information theory of geometric flows of (relativistic) Lagrange–Hamilton mechanical systems.
Sergiu I. Vacaru
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Topology-changing horizons at large D as Ricci flows
Journal of High Energy Physics, 2019 The topology-changing transition between black strings and black holes localized in a Kaluza-Klein circle is investigated in an expansion in the inverse of the number of dimensions D.
Roberto Emparan, Ryotaku Suzuki
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Swampland, gradient flow and infinite distance
Journal of High Energy Physics, 2020 In the first part of this paper we will work out a close and so far not yet noticed correspondence between the swampland approach in quantum gravity and geometric flow equations in general relativity, most notably the Ricci flow.
Alex Kehagias +2 more
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