Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-06-23
Class.Quant.Grav.24:4631-4646,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, 8 figures, 4 new references added. typos corrected
Scientific paper
10.1088/0264-9381/24/18/005
Using the the concept of cracking we explore the influence of density fluctuations and local anisotropy have on the stability of local and non-local anisotropic matter configurations in general relativity. This concept, conceived to describe the behaviour of a fluid distribution just after its departure from equilibrium, provides an alternative approach to consider the stability of selfgravitating compact objects. We show that potentially unstable regions within a configuration can be identify as a function of the difference of propagations of sound along tangential and radial directions. In fact, it is found that these regions could occur when, at particular point within the distribution, the tangential speed of sound is greater than radial one.
Abreu H.
Hernandez Hector H.
Nunez Luis A.
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