Space Inside a Liquid Sphere Transforms into De Sitter Space by Hilbert Radius

Details Space Inside a Liquid Sphere Transforms into De Sitter Space by Hilbert Radius Space Inside a Liquid Sphere Transforms into De Sitter Space by Hilbert Radius

Apr 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aps..oss.p1018r&link_type=abstract

American Physical Society, Spring 2010 Meeting of the Ohio Section of the APS Volume 55, Number 4, April 30-May 1, 2010, abstrac

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Consider space inside a sphere of incompressible liquid, and space surrounding a mass-point. Metrics of the spaces were deduced in 1916 by Karl Schwarzschild. 1) Our calculation shows that a liquid sphere can be in the state of gravitational collapse (g00 = 0) only if its mass and radius are close to those of the Universe (M = 8.7x10^55 g, a = 1.3x10^28 cm). However if the same mass is presented as a mass-point, the radius of collapse rg (Hilbert radius) is many orders lesser: g00 = 0 realizes in a mass-point's space by other conditions. 2) We considered a liquid sphere whose radius meets, formally, the Hilbert radius of a mass-point bearing the same mass: a = rg, however the liquid sphere is not a collapser (see above). We show that in this case the metric of the liquid sphere's internal space can be represented as de Sitter's space metric, wherein λ = 3/a^2 > 0: physical vacuum (due to the λ-term) is the same as the field of an ideal liquid where ρ0 < 0 and p = -ρ0 c^2 > 0 (the mirror world liquid). The gravitational redshift inside the sphere is produced by the non-Newtonian force of repulsion (which is due to the λ-term, λ = 3/a^2 > 0); it is also calculated.

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