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Questions tagged [post-newtonian]

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How to get space component of weak field (linearized) metric?

For Minkowski space with a weak gravitational field the metric takes the form $$ ds^2 = (1+2\phi)dt^2 -(1-2\phi)(dx^2+dy^2+dz^2), $$ where $\phi$ is the Newtonian gravitational potential. You can get ...
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Limits on non-Newtonian gravity at length scales larger than 1 meter?

This answer from 2012 shows some information on an exponential term characterized by relative strength and range parameters $\alpha$ and $\lambda$, One potential tested here is here $$V(r)=-G\...
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What are modern solar system applications of GR where approximation methods fail? [closed]

It is often stated that general relativity (GR) provides the most accurate description of gravitational phenomenon. In most undergraduate and even graduate textbooks this idea is reinforced by ...
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How to solve the following post-Newtonian field equations?

I'm currently reading through this paper based on the second post-Newtonian approximation. I am currently looking at 3 field equations which are given by Eqs. (A7)-(A9). They are reproduced from ...