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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
0 answers
51 views

What is the effective physical difference between a massive region of a polarized vacuum and...

What is the effective physical difference between a large region of curved space-time and an equally large region of a polarized vacuum? Consider the fact that vacuum polarization amounts to an effec …
spacetimeengineer's user avatar
1 vote
3 answers
555 views

How can the electromagnetic stress energy tensor be restricted to flat space-time

The Wikipedia article describing the electromagnetic stress energy tensor seems to suggest that this tensor can only be defined in flat space-time. How is it possible to define an electromagnetic str …
spacetimeengineer's user avatar
2 votes

How is time measured inside the bubble created by an Alcubierre drive?

The passage of time inside the bubble will be the same as outside the bubble; the passengers inside the bubble will be able to transfer between points separated by vast distances as if they were effec …
spacetimeengineer's user avatar
5 votes
1 answer
267 views

How is $\Omega_0 = 1$ when the characteristic "teardrop" past light cone seems to admit curv...

Introduction: The top graphic is just one I pulled from a page describing the process of detecting cosmic curvature. The second graphic is one I drew up to illustrate my misunderstanding. My assumpti …
spacetimeengineer's user avatar
6 votes

Does general relativity reduce to special relativity for free falling objects?

Not exactly. I wouldn't say that General Relativity reduces to Special Relativity for free-falling frames because it implies that General Relativity loses meaning in these inertial situations. It's tr …
spacetimeengineer's user avatar
0 votes

Does coordinate time have physical meaning?

Proper time is the time measured by a clock which is traveling along an inertial path. Coordinate time can be thought of as the time axis on a space time diagram; so as an example the coordinate time …
spacetimeengineer's user avatar
2 votes
1 answer
92 views

Instructions for mapping the independent Riemann coefficients to the redundant Riemann coeff...

Introduction: I have been developing a General Relativity utility for working out the stress tensor coefficients for a given metric and all the related Riemannian coefficients which build up to it: …
spacetimeengineer's user avatar
1 vote

Open source computer algebra systems for general relativity

I have been developing a toolkit; spacetimeengine as a research tool. It is extremely lightweight but fully focused on General Relativity.
6 votes
4 answers
9k views

Deriving a Schwarzschild radius using relativistic mass

Introduction I have shown below two different approaches to deriving the Schwarzschild radius. I know these are less rigorous than the derivation of the Schwarzschild solution however the $\frac{2GM …
spacetimeengineer's user avatar