The space-time metric inside a black hole

Details The space-time metric inside a black hole The space-time metric inside a black hole

Oct 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981nciml......161g&link_type=abstract

Nuovo Cimento, Lettere, Serie 2, Oct. 10, 1981, p. 161-163.

Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Metric Space, Space-Time Functions, Einstein Equations, Infrared Radiation, Schwarzschild Metric, Ultraviolet Radiation

Scientific paper

A space-time metric is derived for that region of nonempty space within the event horizon of a black hole. The expression for the metric is obtained by the formal integration of the Einstein equations with the integration limits removed and for nonzero values of the energy-momentum tensor components. At the Schwarzschild radius, the solution is identical to that for a spherically symmetric black hole seen from the outside and reduces to the flat-space metric at zero radial distance. The metric potentials give rise to an infrared divergence at the Schwarzschild radius, and have an ultraviolet free-field asymptotic behavior at zero radius.

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