Celestial bodies and multidimensional Einstein theory of gravitation

Details Celestial bodies and multidimensional Einstein theory of gravitation Celestial bodies and multidimensional Einstein theory of gravitation

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995ap%26ss.225..123b&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 225, no. 1, p. 123-135

Physics

3

Celestial Bodies, Density Distribution, Field Theory (Physics), Gravitation Theory, Mass Distribution, Pressure Distribution, Relativity, Spheres, Moments Of Inertia, Momentum, Space-Time Functions, Tensor Analysis

Scientific paper

Static spherically symmetric celestial bodies are investigated in multidimensional Einstein theory of gravitation. A model with compact Ricci-flat internal space real numbern is studied and confronted with observations. Integration constants in the exterior solution of field equations are determined using integrals over the distribution of matter inside the celestial body. Two independent formulas for the mass and mass squared of the celestial body are derived. The first one is similar to Tolman's formula for the mass in GRT. It is shown that integral parameters (mass, radius etc.) of the matter distribution inside the celestial body tend to definite limits in the case of large number (n tends to infinity) of extra dimensions. As main result it turns out that the model would be in accordance with solar system observational data only if there would be a negative (with abnormal large absolute value) pressure p1 of solar matter in extra dimensions: absolute value of p1 approximates rho x c2, where rho is the matter density.

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