Thermodynamics of a model of nonadiabatic spherical gravitational collapse

Grammenos, Th.

doi:10.1007/bf00658039

Cited by 11 publications

(24 citation statements)

References 13 publications

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“…It has been discussed extensively in the past [27,29,[49][50][51]. Finally, it should be mentioned that the study of collapsing shear-free perfect fluid models with heat flow began with the well-known Robertson-Walker cosmological model by promoting its constant k to a function k (t) [3,41,45,52,53].…”

Section: Conformally Flat Solutionsmentioning

confidence: 97%

Collapsing shear-free perfect fluid spheres with heat flow

Иванов¹

2012

Gen Relativ Gravit

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A global view is given upon the study of collapsing shear-free perfect fluid spheres with heat flow. We apply a compact formalism, which simplifies the isotropy condition and the condition for conformal flatness. This formalism also presents the simplest possible version of the main junction condition, demonstrated explicitly for conformally flat and geodesic solutions. It gives the right functions to disentangle this condition into well known differential equations like those of Abel, Riccati, Bernoulli and the linear one. It yields an alternative derivation of the general solution with functionally dependent metric components. We bring together the results for static and time- dependent models to describe six generating functions of the general solution to the isotropy equation. Their common features and relations between them are elucidated. A general formula for separable solutions is given, incorporating collapse to a black hole or to a naked singularity.Comment: 26 page

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Section: Conformally Flat Solutionsmentioning

confidence: 97%

Collapsing shear-free perfect fluid spheres with heat flow

Иванов¹

2012

Gen Relativ Gravit

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“…This allows for a more transparent analysis of the main physical effects at play, and it can also serve as a useful check for numerical procedures. In this spirit, we construct a simple exact model which generalizes a previous model [1] by incorporating the physically desirable feature of causality into the heat transport process.…”

Section: Introductionmentioning

confidence: 99%

A causal model of radiating stellar collapse

Govender

Maharaj

Maartens

1998

Class. Quantum Grav.

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We find a simple exact model of radiating stellar collapse, with a shear-free and non-accelerating interior matched to a Vaidya exterior. The heat flux is subject to causal thermodynamics, leading to self-consistent determination of the temperature T . We solve for T exactly when the mean collision time τ c is constant, and perturbatively in a more realistic case of variable τ c . Causal thermodynamics predicts temperature behaviour that can differ significantly from the predictions of non-causal theory. In particular, the causal theory gives a higher central temperature and greater temperature gradient.

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“…The equation (44) has been used extensively to study radiating stars in general relativity (Grammenos [25,26], Grammenos and Kolassis [27], Martínez and Pavón [28]). The temperature obtained in this approach provides a reasonable approximation when the fluid is close to equilibrium.…”

Section: Discussionmentioning

confidence: 99%

“…The first junction condition (13) corresponds to eqs (18), (19), (24) and (25). Note that was defined only as an intermediate variable.…”

Section: S D Maharaj and M Govendermentioning

confidence: 99%

Collapse of a charged radiating star with shear

Maharaj

Govender

2000

Pramana - J Phys

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The junction conditions for a magnetohydrodynamic fluid sphere undergoing dissipative gravitational collapse in the form of a radial heat flux with shear are obtained. These conditions extend particular results of earlier treatments. We demonstrate that the pressure is proportional to the magnitude of the heat flux as is the case in shear-free models. However in our case the gravitational potentials must be solutions of the Einstein-Maxwell system of equations. The mass function Ñ´Úµ is increased by a factor related to the charge É of the radiating star. Physical quantities relating to the local conservation of momentum and surface redshift are obtained.

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Thermodynamics of a model of nonadiabatic spherical gravitational collapse

Cited by 11 publications

References 13 publications

Collapsing shear-free perfect fluid spheres with heat flow

Collapsing shear-free perfect fluid spheres with heat flow

A causal model of radiating stellar collapse

Collapse of a charged radiating star with shear

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