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A theory that describes how matter interacts dynamically with the geometry of space and time. It was first published by Einstein in 1915 and is currently used to study the structure and evolution of the universe, as well as having practical applications like GPS.

2 votes
1 answer
122 views

Time-varying gravitational constant a 'well-posed' question?

To my knowledge, some famous physicists such as Dirac and Dyson (perhaps among others) have advocated for the possibility that Newton's gravitational constant $G_N$ might be "time-dependent". I have …
5th decile's user avatar
4 votes
0 answers
234 views

The (Newton-Laplace-Ivory-Arnold) shell theorem in general relativity

It is well-known that Birkhoff's theorem and the classification of LTB spacetimes proves one version of Newton's shell theorem in the context of GR. Another statement in Newtonian gravity, often under …
5th decile's user avatar
1 vote
0 answers
54 views

Confusions about Israel's paper on junctions / singular shells in GR

After reading Israel's well-known paper superficially (see also the erratum) I thought that his formulas (38)-(40) were necessary and sufficient conditions to join two manifolds along a time-like surf …
5th decile's user avatar
3 votes
1 answer
106 views

Why should LTB dust be comoving?

In many research papers about inhomogeneous cosmology, one often considers spherically symmetric (LTB) spacetimes where in the co-ordinate frame $(t,r,\theta,\varphi)$ wherein the metric assumes the f …
5th decile's user avatar
8 votes
1 answer
523 views

Simple metric of stellar collapse

Is there a simple metric (Lorentzian manifold) known which exhibits the formation of a black hole while not having any white hole counterpart and which moreover satisfies the strong and dominant energ …
5th decile's user avatar