2008/01/01 by Roberto A. Sussman, Alfredo Herrera–Aguilar, Francisco S. Guzmán Murillo +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1063/1.3058574
published as AIP Conf.Proc.1083:228-235,2008 · 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
openalex publication_date 2008/01/01 · arxiv created 2008/10/07 · arxiv updated 2010/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
We examine a large class of inhomogeneous spherically symmetric spacetimes that generalize the Lemaître–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–Lemaître–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.