Dynamics of hyperbolically symmetric fluids

Abstract

We study the general properties of dissipative fluid distributions endowed with hyperbolical symmetry. Their physical properties are analyzed in detail. It is shown that the energy density is necessarily negative and the fluid distribution cannot fill the region close to the center of symmetry. Such a region may be represented by a vacuum cavity around the center. By assuming a causal transport equation some interesting thermodynamical properties of these fluids are found. Several exact analytical solutions which evolve in the quasi-homologous regime and satisfy the vanishing complexity factor condition, are exhibited

arXiv comment15 pages Latex. Published in Symmetry (Special Issue: Recent Advance in Astrophysics)

References in corpus (10)

• New definition of complexity for self-gravitating fluid distributions: The spherically symmetric, static case
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• Generalized energy conditions in Extended Theories of Gravity
• Energy conditions in modified gravity
• Cavity evolution in relativistic self-gravitating fluids
• Duality between static spherically or hyperbolically symmetric solutions and cosmological solutions in scalar-tensor gravity
• Geodesics of the hyperbolically symmetric black hole
• Dark matter effects in vacuum spacetime
• Possibility of hyperbolic tunneling