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Generating anisotropic fluids from vacuum Ernst equations

Stefano Viaggiu
(
- Rome U., Tor Vergata
)

Jun, 2006

18 pages

Published in:

Int.J.Mod.Phys.D 19 (2010) 1783-1795

e-Print:

gr-qc/0606071 [gr-qc]

DOI:

10.1142/S0218271810018025

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Abstract: (arXiv)

Starting with any stationary axisymmetric vacuum metric, we build anisotropic fluids. With the help of the Ernst method, the basic equations are derived together with the expression for the energy-momentum tensor and with the equation of state compatible with the field equations. The method is presented by using different coordinate systems: the cylindrical coordinates

\rho, z

and the oblate spheroidal ones. A class of interior solutions matching with stationary axisymmetric asymptotically flat vacuum solutions is found in oblate spheroidal coordinates. The solutions presented satisfy the three energy conditions.

Note:

Version published on IJMPD, title changed by the review

04.20.-q
04.20.Jb
Anisotropic pressure
Ernst equations
interior solutions
fluid: anisotropy
fluid: rotation
space-time
vacuum state
symmetry: axial

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