Static Self-gravitating Elastic Bodies in Einstein Gravity
نویسندگان
چکیده
We prove that given a stress-free elastic body there exists, for sufficiently small values of the gravitational constant, a unique static solution of the Einstein equations coupled to the equations of relativistic elasticity. The solution constructed is a small deformation of the relaxed configuration. This result yields the first proof of existence of static solutions of the Einstein equations without symmetries.
منابع مشابه
Self-gravitating elastic bodies
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