1+3 -Newton-Cartan system and Newton-Cartan cosmology
نویسندگان
چکیده
منابع مشابه
On Newton-Cartan cosmology
After a brief summary of the Newton-Cartan theory in a form which emphasizes its close analogy to general relativity, we illustrate the theory with selective applications in cosmology. The geometrical formulation of this nonrelativistic theory of gravity, pioneered by Cartan and further developed by various workers, leads to a conceptually sound basis of Newtonian cosmology. In our discussion o...
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This article provides us with a unifying classification of the conformal infinitesimal symmetries of non-relativistic Newton-Cartan spacetime. The Lie algebras of non-relativistic conformal transformations are introduced via the Galilei structure. They form a family of infinite-dimensional Lie algebras labeled by a rational “dynamical exponent”, z. The Schrödinger-Virasoro algebra of Henkel et ...
متن کامل2 Metric Perturbations in Einstein - Cartan Cosmology
Metric perturbations the stability of solution of Einstein-Cartan cosmology (ECC) are given. The first addresses the stability of solutions of Einstein-Cartan (EC) cosmological model against Einstein static universe background. In this solution we show that the metric is stable against first-order perturbations and correspond to acoustic oscillations. The second example deals with the stability...
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The thermodynamics is extented to spacetimes with spin-torsion density.Impplications to Einstein-Cartan-de Sitter inflationary phases are discussed.A relation between the spin-torsion density,entropy and temperature is presented.A lower limit for the radius of the Universe may be obtained from the spin-torsion density and the Planck lenght.
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Riemannian vectorial collineations along with current Killing conservation are shown to lead to tensorial collineations for the energystress tensor in general relativity and in Einstein-Cartan Weyssenhoff fluid cosmology. PACS numbers : 0420,0450. Departamento de F́ısica Teórica Instituto de F́ısica UERJ Rua São Fco. Xavier 524, Rio de Janeiro, RJ Maracanã, CEP:20550-003 , Brasil. e-mail.: garcia...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2021
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.103.064064