Relativity and Cosmology


Relativity in Combinatorial Gravitational Fields

Authors: Linfan Mao

A combinatorial spacetime (CGj t) is a smoothly combinatorial manifold C underlying a graph G evolving on a time vector t. As we known, Einstein's general relativity is suitable for use only in one spacetime. What is its disguise in a combinatorial spacetime? Applying combinatorial Riemannian geometry enables us to present a combinatorial spacetime model for the Universe and suggest a generalized Einstein's gravitational equation in such model. For finding its solutions, a generalized relativity principle, called projective principle is proposed, i.e., a physics law in a combinatorial spacetime is invariant under a projection on its a subspace and then a spherically symmetric multisolutions of generalized Einstein's gravitational equations in vacuum or charged body are found. We also consider the geometrical structure in such solutions with physical formations, and conclude that an ultimate theory for the Universe maybe established if all such spacetimes in R3. Otherwise, our theory is only an approximate theory and endless forever.

Comments: 12 pages

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Submission history

[v1] 20 Mar 2010

Unique-IP document downloads: 54 times

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