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Phys. Rev. D 72, 124003 (2005) [8 pages]

Pressure as a source of gravity

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J. Ehlers1, I. Ozsváth2, E. L. Schücking3, and Y. Shang3
1Max Planck Institut für Gravitationsphysik Golm, Am Mühlenberg, D-14476 Golm bei Potsdam, Germany
2Department of Mathematics, The University of Texas at Dallas, Box 830688, Richardson, TX 75083-0688
3Department of Physics, New York University, Washington Place, New York, NY 10003

Received 1 October 2005; published 7 December 2005

The active mass density in Einstein’s theory of gravitation in the analog of Poisson’s equation in a local inertial system is proportional to ρ+3p/c2. Here ρ is the density of energy and p its pressure for a perfect fluid. By using exact solutions of Einstein’s field equations in the static case we study whether the pressure term contributes towards the mass.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.124003
DOI:
10.1103/PhysRevD.72.124003
PACS:
04.20.Jb, 04.20.Cv, 04.40.−b