Originally posted by franznietzsche
The Schwarzschild Metric is only valid for R>2M,
What are the units used here? Obviously R and M should have incompatible units...so how can any comparison of this type be made?
The Schwarzschild Metric is a mathematical description of the curvature of spacetime around a non-rotating, spherically symmetric mass. It was first derived by German physicist Karl Schwarzschild in 1916 as a solution to Einstein's field equations in general relativity.
The Schwarzschild Metric is used to accurately describe the effects of gravity near a massive object, such as a star or black hole. It is also used in predicting the orbits of planets and other celestial bodies.
No, the Schwarzschild Metric is only applicable to objects that are non-rotating and spherically symmetric. This means that it cannot accurately describe the curvature of spacetime around objects like rotating black holes or non-spherical planets.
The event horizon is a boundary in the Schwarzschild Metric that marks the point of no return for objects approaching a black hole. Once an object crosses the event horizon, it is unable to escape the gravitational pull of the black hole.
Yes, the Schwarzschild Metric is a simplified model and does not take into account factors such as the rotation and electric charge of a massive object. It also does not accurately describe the behavior of spacetime at small scales, requiring the use of other metrics such as the Kerr Metric.