Friedmann-Robertson-Walker metric in curvature coordinates and its applications
(1) Theoretical Astrophysics Section, Bhabha Atomic Research Centre, Mumbai, India
For the first time, we express the general Friedmann-Robertson-Walker (FRW) metric (k = +1, 0, -1) into explicit "Schwarzschild" or "Curvature" form, which is important from the viewpoint of cosmology. With this form of the FRW metric, we reconsider the old problem of embedding a Schwarzschild mass (SM) in a pre-existing FRW background from the viewpoints of both (1) the enigmatic McVittie metric, obtained in 1933 and (2) the Einstein-Straus approach (1945) of scooping out a spherical cavity in the same background. Since the exterior of the SM is, by definition, described in the Schwarzschild coordinates, for a definitive study of the Einstein-Straus approach we employ this form of the FRW metric. We find that a necessary condition for a SM to participate in the cosmic expansion is that the background fluid is dust.
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- M. C. McVittie, Mon. Not. R. Astron. Soc. 93, 325 (1933).
- N. Kaloper, M. Kleban, and D. Martin, Phys. Rev. D 81, 104044 (2010).
- M. Ferris, M. Francaviglia and A. Spallicci, Nuovo Cim. IIIB, 1031 (1996)
- A. Einstein and E. G. Straus, Rev.Mod. Phys. 17, 120 (1945).
- R. Gautreau, Phys. Rev. D 29, 186 (1984).
- F. Kottler, Ann. Phys. 56, 410 (1918).
- L. Landau and E.M. Lifshitz Classical Theory of Fields (Pergamon, Oxford, 1962).
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