Deriving Schwarzschild Metric: A Simple Method?

  • Thread starter Thread starter sharma_satdev
  • Start date Start date
  • Tags Tags
    Schwarzschild
sharma_satdev
Messages
33
Reaction score
0
Please suggest some simple method of deriving schwarzschild metric without using Einstein equations and tensors.I have learned somewhere that it is not possible.Is it so?
 
Physics news on Phys.org
What do you mean derive? Starting from what?
 
I guess the OP means derive from certain mathematical or geometrical assumptions as starting point to get the metric without the direct use of the EFE. Just like it can be done with the FRW metric that is a solution of the EFE derived from simple assumptions about manifolds, isotropy and homogeneity, without the need of the EFE as starting point.
Wrt the Schwarzschild metric, all derivations I know include the EFE in vacuum as starting point, the only other requisite being isotropy according to the Birkhoff theorem.
 
Thread 'Can this experiment break Lorentz symmetry?'
1. The Big Idea: According to Einstein’s relativity, all motion is relative. You can’t tell if you’re moving at a constant velocity without looking outside. But what if there is a universal “rest frame” (like the old idea of the “ether”)? This experiment tries to find out by looking for tiny, directional differences in how objects move inside a sealed box. 2. How It Works: The Two-Stage Process Imagine a perfectly isolated spacecraft (our lab) moving through space at some unknown speed V...
Does the speed of light change in a gravitational field depending on whether the direction of travel is parallel to the field, or perpendicular to the field? And is it the same in both directions at each orientation? This question could be answered experimentally to some degree of accuracy. Experiment design: Place two identical clocks A and B on the circumference of a wheel at opposite ends of the diameter of length L. The wheel is positioned upright, i.e., perpendicular to the ground...
According to the General Theory of Relativity, time does not pass on a black hole, which means that processes they don't work either. As the object becomes heavier, the speed of matter falling on it for an observer on Earth will first increase, and then slow down, due to the effect of time dilation. And then it will stop altogether. As a result, we will not get a black hole, since the critical mass will not be reached. Although the object will continue to attract matter, it will not be a...
Back
Top