Hyperbolic theories of dissipation: Why and when do we need them?

Herrera, L.; Pavón, Diego

doi:10.1016/s0378-4371(01)00614-8

Cited by 75 publications

(82 citation statements)

References 43 publications

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“…The mass function m(r, t) of Cahill and McVittie [29] is obtained from the Riemann tensor component R 23 23 and it is for metric (2) m(r, t) = (rB)…”

Section: The Field Equationsmentioning

confidence: 99%

Some analytical models of radiating collapsing spheres

2006

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“…The mass function m(r, t) of Cahill and McVittie [29] is obtained from the Riemann tensor component R 23 23 and it is for metric (2) m(r, t) = (rB)…”

Section: The Field Equationsmentioning

confidence: 99%

Some analytical models of radiating collapsing spheres

2006

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“…In a very broad sense, we are mainly interested in time scales whose order may be smaller or equal to the radiation time. During the study of transport equations for dissipative variables, we have preferred to use the hyperbolic theory of dissipation because this theory is more reliable than that of parabolic theory and have less difficulties as in parabolic theory arise [8], [49]- [51].…”

Section: Resultsmentioning

confidence: 99%

Dynamics of charged viscous dissipative cylindrical collapse with full causal approach

Shah

Abbas

2017

Eur. Phys. J. A

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The aim of this paper is to investigate the dynamical aspects of charged viscous cylindrical source by using Misner approach. To this end, we have considered the more general charged dissipative fluid enclosed by the cylindrical symmetric spacetime. The dissipative nature of the source is due to the presence of dissipative variables in the stressenergy tensor. The dynamical equations resulting from such charged cylindrical dissipative source have been coupled with the causal transport equations for heat flux, shear and bulk viscosity, in the context of Israel-Steward theory. In this case, we have the considered the IsraelSteward transportation equations without excluding the thermodynamics viscous/heat coupling coefficients. The results are compared with the previous works in which such coefficients were excluded and viscosity variables do not satisfy the casual transportation equations.

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“…Reasons for doing that have been extensively discussed in recent years (see [46][47][48][49][50][51][52][53][54][55][56][57][58][59] and references therein).…”

Section: Transport Equation and Entropy Productionmentioning

confidence: 99%

Vorticity and entropy production in tilted Szekeres spacetimes

et al. 2012

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We analyze the properties of the tilted Szekeres spacetime, i.e. the version of such spacetime as seen by a congruence of observers with respect to which the fluid is moving. The imperfect fluid and the kinematical variables associated to the four-velocity of the fluid assigned by tilted observers are studied in detail. As it happens for the case of the Lemaitre-Tolman-Bondi spacetime, the fluid evolves nonreversibly (with nonvanishing entropy production) and is nongeodesic. However unlike the latter case, the tilted observer detects vorticity in the congruence of the fluid world lines. Also, as for the nontilted congruence the magnetic part of the Weyl tensor vanishes, reinforcing the nonradiative character of this kind of spacetime. Possible physical implications of these results are discussed.

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Hyperbolic theories of dissipation: Why and when do we need them?

Cited by 75 publications

References 43 publications

Some analytical models of radiating collapsing spheres

Some analytical models of radiating collapsing spheres

Dynamics of charged viscous dissipative cylindrical collapse with full causal approach

Vorticity and entropy production in tilted Szekeres spacetimes

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