Einstein gravity as an attractor in higher-dimensional theories

Details Einstein gravity as an attractor in higher-dimensional theories Einstein gravity as an attractor in higher-dimensional theories

Jul 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986egah.rept.....m&link_type=abstract

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Astronomy and Astrophysics

Astrophysics

Astrophysics, Black Holes (Astronomy), Gravitation, Relativity, Expansion, Space-Time Functions

Scientific paper

In higher-dimensional theories with a suitable potential, the 4-dim Einstein gravity is always realized as an attractor in the dynamical system if the 3-space is expanding. The space-time approaches (the 4-dim Friedmann universe) x (a static internal space). On the other hand, if the 3-space is contracting (e.g., the future of the closed universe or the inside of a collapsing relativistic star), the potential minimum is no longer attractor. The space-time leaves it, finding the blowing up of the internal space and/or the Jordan-Brans-Dicke gravity. Astrophysical consequences of the extra-dimensions might be found.

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