Results 1 to 10 of about 263 (151)

NONASSOCIATIVE GEOMETRY: FRIEDMANN–ROBERTSON–WALKER SPACETIME [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2006
In (Phys. Rev. D62 (2000) 081501(R)) we proposed a unified description of continuum and discrete spacetime based on nonassociative geometry. It follows from our approach that at distances comparable with Planck length the standard concept of spacetime might be replaced by the nonassociative discrete structure, and nonassociativity is the algebraic ...
Alexander I Nesterov
exaly   +3 more sources

On the integrability of the geodesic flow on a Friedmann–Robertson–Walker spacetime [PDF]

open access: yesPhysica Scripta, 2018
We study the geodesic flow on the cotangent bundle of a Friedman-Robertson-Walker spacetime (M, g). On this bundle, the HamiltonJacobi equation is completely separable and this separability leads us to construct four linearly independent integrals in involution i.e. Poisson commuting amongst themselves and pointwise linearly independent.
Thomas Zinnias
exaly   +3 more sources

Probing spatial orientability of a Friedmann-Robertson-Walker spatially flat spacetime

open access: yesPhysical Review D, 2022
One important global topological property of a spacetime manifold is orientability. It is widely believed that spatial orientability can only be tested by global journeys around the Universe to check for orientation-reversing closed paths. Since such global journeys are not feasible, theoretical arguments that combine universality of physical ...
Marcelo J Reboucas
exaly   +3 more sources

Uniqueness of self-similar asymptotically Friedmann-Robertson-Walker spacetime in Brans-Dicke theory [PDF]

open access: yesPhysical Review D, 2002
Revised version, 4 pages, no figures, Revtex, accepted for publication in Physical Review ...
Maeda, Hideki   +2 more
exaly   +3 more sources

Painlevé Analysis of the Cosmological Field Equations in Weyl Integrable Spacetime

open access: yesUniverse, 2022
We apply a singularity analysis to investigate the integrability properties of the gravitational field equations in Weyl Integrable Spacetime for a spatially flat Friedmann–Lemaître–Robertson–Walker background spacetime induced by an ideal gas.
Andronikos Paliathanasis
doaj   +1 more source

Nonsingular Bouncing Model in Closed and Open Universe

open access: yesPhysical Sciences Forum, 2023
We investigate the background dynamics of a class of models with noncanonical scalar field and matter both in Friedmann Lemaitre Robertson Walker (FLRW) closed and open spacetime.
Manabendra Sharma   +2 more
doaj   +1 more source

Ricci collineations in Friedmann–Robertson–Walker spacetimes [PDF]

open access: yesClassical and Quantum Gravity, 2002
14 pages, plain TeX, no ...
Barnes, A, Camci, U
openaire   +4 more sources

On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime

open access: yesBoundary Value Problems, 2021
Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey’
Kimitoshi Tsutaya, Yuta Wakasugi
doaj   +1 more source

Estimation of temperature of cosmological apparent horizons: a new approach

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
We consider radiation from cosmological apparent horizon in Friedmann–Lemaitre–Robertson–Walker (FLRW) model in a double-null coordinate setting. As the spacetime is dynamic, there is no timelike Killing vector, instead we have Kodama vector which acts ...
Bhramar Chatterjee, Narayan Banerjee
doaj   +1 more source

Covariant Space-Time Line Elements in the Friedmann–Lemaitre–Robertson–Walker Geometry

open access: yesAxioms, 2022
Most quantum gravity theories quantize space-time on the order of Planck length (ℓp ). Some of these theories, such as loop quantum gravity (LQG), predict that this discreetness could be manifested through Lorentz invariance violations (LIV) over ...
David Escors, Grazyna Kochan
doaj   +1 more source

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