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Gravitational potential from maximum entropy principle. (English) Zbl 1479.83062

Summary: It is shown here in the framework of standard general relativity that the gravitational potential in static spacetime, equivalently the redshift factor, inside any kind of matter, can be derived from maximum entropy principle. It is used only the Hamiltonian constraint, without further invoking Einstein’s equations or any new principle. The Newtonian potential arises from the same procedure.

MSC:

83C40 Gravitational energy and conservation laws; groups of motions
80A10 Classical and relativistic thermodynamics
31C12 Potential theory on Riemannian manifolds and other spaces
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