Dissipative collapse of axially symmetric, general relativistic sources: A general framework and some applications

2014/04/08 by L. Herrera, A. Di Prisco, J. Ibáñez +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.89.084034

published as Phys. Rev. D89, 084034, (2014) · 16 pages, Revtex 4-1. To appear in Phys. Rev. D. Some references updated

openalex publication_date 2014/04/08 · arxiv created 2014/04/09 · arxiv updated 2015/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We carry out a general study on the collapse of axially (and reflection-)symmetric sources in the context of general relativity. All basic equations and concepts required to perform such a general study are deployed. These equations are written down for a general anisotropic dissipative fluid. The proposed approach allows for analytical studies as well as for numerical applications. A causal transport equation derived from the Israel-Stewart theory is applied, to discuss some thermodynamic aspects of the problem. A set of scalar functions (the structure scalars) derived from the orthogonal splitting of the Riemann tensor are calculated and their role in the dynamics of the source is clearly exhibited. The characterization of the gravitational radiation emitted by the source is discussed.

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Cited by

• Axially symmetric dissipative fluids in the quasi--static approximation