Experimental Tests of GR for Non-Vanishing Tensor

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In summary, the person is asking if there have been any experimental tests of the Einstein equation for non-vanishing energy-momentum tensor and which ones. They have searched on Wikipedia and Google but couldn't find anything specific. They mention the FLRW and Reissner-Nordström/Kerr-Newman metrics and ask if this means Einstein-Maxwell theory should be considered a theory rather than a hypothesis.
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Geometry_dude
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My question is the following: Have there ever been any experimental tests of the Einstein equation (a.k.a. Einstein field equations) for the case of non-vanishing energy-momentum tensor?
If so, which ones?

I know there's a wikipedia article about tests of general relativity and I have already employed the search function here and of course google, but couldn't find anything specific.
 
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Cosmology. Neutron stars.
 
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Thank you for your answer. I suppose you mean the following corresponding metrics
  • FLRW metric
  • Reissner-Nordström/Kerr-Newman metric
Does the latter imply that Einstein-Maxwell theory should be considered a theory as opposed to an hypothesis?
 

1. What is the purpose of experimental tests of GR for non-vanishing tensor?

The purpose of these tests is to validate the predictions of General Relativity (GR) in scenarios where the tensor, which describes the curvature of spacetime, does not equal zero. This is important because most previous experimental tests of GR have been conducted in scenarios where the tensor is assumed to be zero, and it is important to verify that the theory holds up in more general cases.

2. How do scientists conduct experimental tests of GR for non-vanishing tensor?

Scientists conduct these tests by using high-precision instruments to measure the effects predicted by GR in scenarios where the tensor is non-zero. This can involve measuring the gravitational redshift, the bending of light, or the precession of orbits in the presence of massive objects.

3. What are some examples of experimental tests of GR for non-vanishing tensor?

Some examples of these tests include the Pound-Rebka experiment, which measured the gravitational redshift of light in a strong gravitational field, and the Hulse-Taylor pulsar binary system, which observed the predicted decay of the orbit due to the emission of gravitational waves.

4. Have these experimental tests confirmed or disproved GR for non-vanishing tensor?

So far, these tests have confirmed the predictions of GR in scenarios where the tensor is non-zero. However, there are ongoing efforts to conduct even more precise tests and potentially find deviations from the theory, which could lead to new insights about the nature of gravity.

5. What are some potential implications of successful experimental tests of GR for non-vanishing tensor?

If these tests continue to confirm the predictions of GR, it could further solidify the theory as the most accurate description of gravity. It could also have implications for our understanding of the universe, including the behavior of black holes and the expansion of the universe.

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