Abstract
In the present paper, we deal with the five dimensional warped k=0–FRW Universe, with a perfect fluid in the bulk. By solving the Einstein’s Equations, we get the corresponding scale function, a, and the warp factor. Particular attention is given to the effective potential V(a), which is used in solving both the Wheeler-DeWitt equation and the stationary Schrödinger equation. Inspired by similar considerations carried out in a series of recent papers, we assume that the brane matter is made of two interacting perfect fluids. We compute the corresponding densities and pressures and write down the Equation of State, whose dynamic parameter is taking all the intermediate values, from w=1, at t=0, to w=−1, in the far future.
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We are grateful to the anonymous referees for insightful suggestions in improving the original form of our paper.
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Dariescu, MA., Dariescu, C. Quantum treatment and equation of state of a Friedmann-Robertson-Walker brane embedded in a five dimensional fluid bulk. Astrophys Space Sci 344, 529–535 (2013). https://doi.org/10.1007/s10509-012-1352-7
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DOI: https://doi.org/10.1007/s10509-012-1352-7