Shearing radiative collapse with expansion and acceleration

Abstract

We investigate the behaviour of a relativistic spherically symmetric radiative star with an accelerating, expanding and shearing interior matter distribution in the presence of anisotropic pressures. The junction condition can be written in standard form in three cases: linear, Bernoulli and Riccati equations. We can integrate the boundary condition in each case and three classes of new solutions are generated. For particular choices of the metric we investigate the physical properties and consider the limiting behaviour for large values of time. The causal temperature can also be found explicitly.

16 pages, To appear in J. Math. Phys

References in corpus (7)

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• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• Riccati equations for bounded radiating systems
• New charged shear-free relativistic models with heat flux
• Lie symmetry approach to the time-dependent Karmarkar condition
• General relativistic, nonstandard model for the dark sector of the Universe