A duality relation for fluid spacetime
arXiv:gr-qc/9801076 · doi:10.1088/0264-9381/15/4/001
Abstract
We consider the electromagnetic resolution of gravitational field. We show that under the duality transformation, in which active and passive electric parts of the Riemann curvature are interchanged, a fluid spacetime in comoving coordinates remains invariant in its character with density and pressure transforming, while energy flux and anisotropic pressure remaining unaltered. Further if fluid admits a barotropic equation of state, where , which will transform to . Clearly the stiff fluid and dust are dual to each-other while , will go to flat spacetime. However the n and the deSitter ) universes ar e self-dual.
5 pages, LaTeX version, Accepted in Classical Quantum Gravity as a Letter