Quasi-local variables and inhomogeneous cosmological sources with spherical symmetry

Abstract

We examine a large class of inhomogeneous spherically symmetric spacetimes that generalize the Lemaitre-Tolman-Bondi dust solutions to nonzero pressure ("LTB spacetimes"). Local covariant LTB objects can be expressed as perturbations of covariant quasi-local (QL) scalars that satisfy evolution equations of equivalent Friedman-Lemaitre-Robertson-Walker (FLRW) scalars. Thus, the dynamics of these spacetimes can be rigorously described as non-linear, gauge invariant and covariant perturbations on a formal FLRW background given by the QL scalars. Since LTB spacetimes are compatible with a wide variety of "equations of state" and theoretical assumptions, they provide an ideal framework for numerical models of cosmological sources under idealized but fully non-linear conditions. As an illustrative example, we briefly examine the formation of a black hole in an expanding Chaplygin gas universe.

8 pages, 2 pdf figures. Provides a concise summary of some of the results of arXiv:0801.3324v4 [gr-qc]. Submitted to the AIP Conference Proceedings of the III International Meeting on Gravitation and Cosmology, Morelia, Mexico, May 26-30, 2008

References in corpus (3)

• Quasi-local variables in spherical symmetry: numerical applications to dark matter and dark energy sources
• Quasi-local variables, non-linear perturbations and back-reaction in spherically symmetric spacetimes
• Cosmological k-essence condensation

Cited by in corpus (15)

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• Evolution of radial profiles in regular Lemaitre-Tolman-Bondi dust models
• Radial asymptotics of Lemaitre-Tolman-Bondi dust models
• Invariant characterization of the growing and decaying density modes in LTB dust models
• Chaplygin gas and effective description of inhomogeneous universe models in general relativity
• On spherical dust fluctuations: the exact vs. the perturbative approach
• Weighed scalar averaging in LTB dust models, part I: statistical fluctuations and gravitational entropy
• On the covariance of scalar averaging and backreaction in relativistic inhomogeneous cosmology
• Interactive mixture of inhomogeneous dark fluids driven by dark energy: a dynamical systems analysis
• Weighed scalar averaging in LTB dust models, part II: a formalism of exact perturbations
• Inhomogeneous solutions in $f(T,B)$ gravity
• A new approach for doing theoretical and numeric work with Lemaitre-Tolman-Bondi dust models
• Evolution equations dynamical system of the Lemaître--Tolman--Bondi metric containing coupled dark energy
• The first non-static inhomogeneous exact solution in $f(T,B)$ gravity
• Geometric and physical properties of closed ever expanding dust models