In the 1970s, when the thermal nature of black hole physics was discovered, the wormhole property of the Schwarzschild solution turned out to be an important ingredient.
22.
Kruskal ( in parallel with George Szekeres ) discovered the maximal analytic continuation of the Schwarzschild solution, which he exhibited elegantly using what are now called Kruskal Szekeres coordinates.
23.
However, be careful, because the Schwarzschild radius is the radius of the singularity around a spherically symmetrical system, and the Schwarzschild solution only applies in empty space.
24.
In a maximally extended external Schwarzschild solution, that photon's frequency stays regular only if the mode is extended back into the past region where no observer can go.
25.
To describe the gravitational field both inside and outside the gravitating body the Schwarzschild solution must be matched with some suitable interior solution at, such as the interior Schwarzschild solution.
26.
To describe the gravitational field both inside and outside the gravitating body the Schwarzschild solution must be matched with some suitable interior solution at, such as the interior Schwarzschild solution.
27.
In the nonrotating, Schwarzschild solution, with ? = 0, the inner and outer photon spheres degenerate, so that all the photons sphere occur at the same radius.
28.
Furthermore, he was in 1919 invited to Uppsala by Oseen and it was there he started his work on general relativity and in particular his generalization of the Schwarzschild solution.
29.
Thus, the Kerr solution provides an example of a stationary spacetime that is "'not "'static; the non-rotating Schwarzschild solution is an example that is static.
30.
As one examines suitable model spacetimes ( either the exterior Schwarzschild solution or, for more than a single mass, the post-Newtonian expansion ), several effects of gravity on light propagation emerge.
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