Axially symmetric dissipative fluids in the quasi--static approximation
| Autor: | Jaume Carot, A. Di Prisco, J. Ospino, L. Herrera |
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| Rok vydání: | 2015 |
| Předmět: |
Physics
Cosmology and Nongalactic Astrophysics (astro-ph.CO) 010308 nuclear & particles physics Gravitational wave FOS: Physical sciences Astronomy and Astrophysics General Relativity and Quantum Cosmology (gr-qc) Vorticity 01 natural sciences General Relativity and Quantum Cosmology Formalism (philosophy of mathematics) Classical mechanics Quasistatic approximation Space and Planetary Science 0103 physical sciences Dissipative system A priori and a posteriori 010306 general physics Axial symmetry Mathematical Physics Astrophysics - Cosmology and Nongalactic Astrophysics |
| DOI: | 10.48550/arxiv.1509.07970 |
| Popis: | Using a framework based on the $1+3$ formalism we carry out a study on axially and reflection symmetric dissipative fluids, in the quasi--static regime. We first derive a set of invariantly defined "velocities", which allow for an inambiguous definition of the quasi--static approximation. Next we rewrite all the relevant equations in this aproximation and extract all the possible, physically relevant, consequences ensuing the adoption of such an approximation. In particular we show how the vorticity, the shear and the dissipative flux, may lead to situations where different kind of "velocities" change of sign within the fluid distribution with respect to theirs sign on the boundary surface. It is shown that states of gravitational radiation are not {\it a priori} incompatible with the quasistatic--regime. However, any such state must last for an infinite period of time, thereby diminishing its physical relevance. Comment: 10 pages. arXiv admin note: text overlap with arXiv:1404.1176. Some typos corrected. To appear in Int.J.Mod.Phys.D |
| Databáze: | OpenAIRE |
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