A New Interior Schwarzschild Solution

Details A New Interior Schwarzschild Solution A New Interior Schwarzschild Solution

Apr 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974rspsa.337..529f&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 337, Issue 1611, pp. 529-535

Physics

49

Scientific paper

A new interior Schwarzschild solution is presented. It is static, spherically symmetric, regular everywhere inside a sphere of coordinate radius a, and across the surface of this sphere it is joined smoothly to the exterior Schwarzschild solution. There are no radial stresses inside the sphere. The radius a is subject to the inequality a > 2m, where m is the gravitational mass of the sphere. Under certain conditions the new solution may be interpreted as the field inside an Einstein cluster.

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