Anisotropic geodesic fluid spheres in general relativity

Details Anisotropic geodesic fluid spheres in general relativity Anisotropic geodesic fluid spheres in general relativity

2002-07-09

arxiv.org/abs/gr-qc/0207040v1

J.Math.Phys. 43 (2002) 4889-4897

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages Latex, three ps. figures, to appear in J. Math. Physics

Scientific paper

10.1063/1.1505985

It is shown that unlike the perfect fluid case, anisotropic fluids (principal stresses unequal) may be geodesic, without this implying the vanishing of (spatial) pressure gradients. Then the condition of vanishing four acceleration is integrated in non-comoving coordinates. The resulting models are necessarily dynamic, and the mass function is expressed in terms of the fluid velocity as measured by a locally Minkowskian observer. An explicit example is worked out.

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