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Viscous fluid spheres in general relativity (1989)

Banerjee, A. ; Dutta Choudhury, S. B.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 30 (1989), S. 867-871

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: The spherically symmetric distribution of a dissipative fluid with nonvanishing bulk as well as shear viscosity is discussed. The cosmological constant is included in the field equations for more generality. The junction conditions are applied at the boundary of the sphere to match with the exterior Schwarzschild metric to yield the condition T11=0. In the presence of the bulk viscosity alone spatial homogeneity demands the vanishing of shear as well as the conformal flatness of the space-time. On the other hand, nonzero shear viscosity along with the uniform density assumption result in a unique temporal behavior of the matter density increasing always in the course of time.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.528354

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Nonstatic perfect fluid sphere in higher-dimensional space-time (1992)

Banerjee, A. ; Dutta Choudhury, S. B. ; Chatterjee, S.

Springer

General relativity and gravitation 24 (1992), S. 991-999

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ISSN: 1572-9532

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract It is shown that in the case of a spherical nonstatic fluid distribution undergoing shear-free motion the field equations in higher dimensional space-time can be reduced to a single second-order differential equation involving an arbitrary function of the radial co-ordinate. This result extends to higher dimensions a similar one obtained by Wyman and Faulkes earlier for 4D space-time. Solving this differential equation a number of new solutions is found, and the dynamical behaviour of one of the models is briefly discussed. The ansatz is later generalised to include the electromagnetic field as well.