Mathematics Stack Exchange
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Questions tagged [general-relativity]

Questions related to the mathematical aspects of Einstein's theory of relativity. For the physics and its interpretations, please ask at the physics.SE. You may also consider the tags (differential-geometry) and (pde).

Mathematical topics within the theory or relativity include:

among others.

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trace of einstein equation - general relativity

I know quite well what the trace of a matrix is; however, I am not quite sure I understand the meaning of the 'trace' concept when applied to tensors. I would be very grateful to you if: How can i prove that the trace of einstein equation in general…
Lucas G Leite F Pollito
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What is the physical significance of vorticity and how is it related to Lense-Thirring effect in general relativity?

I am referring to this paper on the frame-dragging effect in general relativity. In eq.(9) of the paper, the vorticity vector is defined as $$\omega^\alpha=\frac{1}{2}\eta^{\alpha\eta l\lambda} u_\eta u_{l,\lambda}.$$ Then, the non-null components…
Richard
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