Anisotropic Born-Infeld Cosmologies

Abstract

Anisotropic cosmological spacetimes are constructed from spherically symmetric solutions to Einstein's equations coupled to nonlinear electrodynamics and a positive cosmological constant. This is accomplished by finding solutions in which the roles of $r$ and $t$ are interchanged for all $r>0$ (i.e. $r$ becomes timelike and $t$ becomes spacelike). Constant time hypersurfaces have topology $R\times S^2$ and in all the spacetimes considered the radius of the two sphere vanishes as $t$ goes to zero. The scale factor of the other dimension diverges as $t$ goes to zero in some solutions and vanishes (or goes to a constant) in other solutions. At late times local observers would see the universe to be homogeneous and isotropic.

6 pages, LATEX

References in corpus (1)

• The Melvin Universe in Born-Infeld Theory and other Theories of Non-Linear Electrodynamics

Cited by in corpus (28)

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• Gravastars supported by nonlinear electrodynamics
• Exact solutions of f(R) gravity coupled to nonlinear electrodynamics
• Evolving wormhole geometries within nonlinear electrodynamics
• Interior of a Schwarzschild black hole revisited
• Non-Abelian Born--Infeld cosmology
• Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation
• Rotating Black Branes in the presence of nonlinear electromagnetic field
• Traversable wormholes coupled to nonlinear electrodynamics
• Primordial magnetic fields and gravitational baryogenesis in nonlinear electrodynamics
• Gauge field back-reaction in Born Infeld cosmologies
• Stability of Thin-Shell Wormholes in Nonlinear Electrodynamics
• Exact black hole solutions with non-linear electrodynamic field
• Born-Infeld Type Phantom Model in the $\omega -{\omega }^{\prime }$ Plane
• Some properties of evolving wormhole geometries within nonlinear electrodynamics
• Nonlinear electrodynamics and CMB polarization
• Cosmology in Nonlinear Born-Infeld Scalar Field Theory With Negative Potentials
• A Comparison of Quintessence and Nonlinear Born-Infeld Scalar Field Using Gold Supernova data
• Matter-antimatter asymmetry induced by non-linear electrodynamics
• Anisotropic Born-Infeld-f(R) Cosmologies
• Anisotropy in Born-Infeld brane cosmology
• Extended phase space thermodynamics of black hole with non-linear electrodynamic field
• Rindler-type geometry inside a black hole
• Boundary sources in the Doran - Lobo - Crawford spacetime
• Quasi-Topological Magnetic Brane coupled to Nonlinear Electrodynamics
• Cosmology of the non-local Proca theory
• Anisotropic cosmology in $q$-deformed entropic gravity
• A Born-Infeld Scalar and a Dynamical Violation of the Scale Invariance from the Modified Measure Action