Recent content by empdee4

Thanks for clarification. Does it mean Einstein equation in this very special case can be reduced to a vector equation, as follows: G = 8πGT T(E,p) = (E,p)×(E,p)/[V (E2 – p2 )½ ] G(T,X) = (T,X)×(T,X)/[V (T2 – X2 )½ ] Thus, Einstein equation becomes (T,X)x(T,X)/[V(T–X2)1/2]...

Thanks very much for explanation. Just not clear what T / 8π means.

In Gravitation by Misner, Thorne and Wheeler (p.139), stress-energy tensor for a single type of particles with uniform mass m and uniform momentum p (and E = p2 +m2) ½ ) can be written as a product of two 4-vectors,T(E,p) = (E,p)×(E,p)/[V(E2 – p2 )½ ] Since Einstein equation is G = 8πGT, I am...

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But if one side of the equation is linear and the other side is non-linear, how can the two sides be equal?

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Thanks very much. In MTW book, the stress-energy tensor of each category of particles is written as a vector product. Does it mean this also can happen in an infinitesimal region only? That is, in a finite region, it cannot be written as vector product

In the famous book, Gravitation, by Misner, Thorne and Wheeler, it talks about the stress-energy tensor of a swarm of particles (p.138). The total stress-energy is summed up from all categories of particles. Is summation meaningful in the non-linear theory of Einstein gravitation? Thanks.

Would this be a sensible theory?

Despite popularity and verification of certain particle models, one critical question is where the UN-observed micro dimensions are. In this regard, it is meaningful to point out that symmetry doesn’t need to be from rotations among linear axes, but can be among 2d planes. While this is not...

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More questions. I understand when none of the masses is small and negligible, they both contribute to the stress-energy. There is no difference between gravitating and gravitated masses, they are both gravitating. My question is: Can the Einstein equation with such a stress-energy be reduced to...

Thanks very much for explanations.

Assume two bodies of masses m and x•m are interacting with each other. In Newtonian gravitation, the force between two bodies are the same no matter which is considered gravitating or gravitated. That is, whether mgravitating = m and mgravitated = x•m , or mgravitating = x•m and mgravitated = m...

In the test of General Relativity by perihelion motion of mercury, the stress-energy tensor is set to 0 in Schwarzschild solution. Then, is the curvature caused by solar mass, or by the 0 stress-energy? Or, do we consider solar mass as the gravitating mass? Or the 0 stress-energy the gravitating...