The discussion revolves around the implications of the energy momentum tensor (Tμν) being zero in the context of gravity, exploring whether this condition can lead to a gravitational-free state or if it implies something else, such as anti-gravity. The scope includes theoretical considerations related to general relativity and gravitational fields.
Participants express differing views on the implications of a zero energy momentum tensor, with some suggesting it could lead to a gravitational-free state while others argue it merely indicates empty space. The discussion remains unresolved regarding the interpretation of these conditions.
The discussion does not clarify the assumptions behind the definitions of gravitational-free or anti-gravity, nor does it resolve the implications of the Schwarzschild solution in relation to the energy momentum tensor.
Only if it's zero everywhere. Think of electromagnetism. This is an EM field everywhere caused by a single charge.seonjunyoo said:R μν − 1/2g μν R= 8πG/c^4T μν
In this formula, if the value of the energy momentum tensor(Tμν) becomes zero, can it become gravitational-free?
Then, if the energy momentum tensor everywhere is zero, is it possible to assume that it is anti-gravity?PeroK said:Only if it's zero everywhere. Think of electromagnetism. This is an EM field everywhere caused by a single charge.
No, that's just empty space.seonjunyoo said:Then, if the energy momentum tensor everywhere is zero, is it possible to assume that it is anti-gravity?