Mathematics – Logic
Scientific paper
May 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008nw.....95..413f&link_type=abstract
Naturwissenschaften, Volume 95, Issue 5, pp.413-425
Mathematics
Logic
8
Cosmology: Theory, Early Universe, Relativity
Scientific paper
We study the general relativistic spacetime metrics surrounding massive cosmological objects, such as suns, stars, galaxies or galaxy clusters. The question addressed here is the transition of local, object-related spacetime metrics into the global, cosmological Robertson Walker metrics. We demonstrate that the answer often quoted for this problem from the literature, the so-called Einstein Straus vacuole, which connects a static outer Schwarzschild solution with the time-dependent Robertson Walker universe, is inadequate to describe the local spacetime of a gravitationally bound system. Thus, we derive here an alternative model describing such bound systems by a metrics more closely tied to the fundamental problem of structure formation in the early universe and obtain a multitude of solutions characterising the time-dependence of a local scale parameter. As we can show, a specific solution out of this multitude is able to, as a by-product, surprisingly enough, explain the presently much discussed phenomenon of the PIONEER anomaly.
Fahr Hans Jörg
Siewert Mark
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