2022年1月25日 · In fact, the Schwarzschild radius is related to the maximum time you can survive between event horizon and singularity - about 15##\mu\mathrm{s}## (edit: and not ms, as I originally wrote) per solar mass of black hole, from memory.

2023年2月11日 · Second, the "Schwarzschild radius of the universe is meaningless. The universe does not have a Schwarzschild geometry, so it sure doesn't have a Schwarzschild radius. It's like talking about the radius of a cube. Third, sure, you cal always plug numbers into equations willy-nilly and sometimes get a surprising number pop out.

2012年12月2日 · The Schwarzschild radius of a proton is calculated using the formula Rs = 2GM/c^2, where G is the gravitational constant, M is the mass of the proton, and c is the speed of light. This formula was originally derived by German physicist Karl Schwarzschild in 1916.

2019年6月8日 · It depends on the choice of coordinates; "radius" here is a coordinate, not a physical distance. This means that Schutz is using the coordinate choice usually called "Schwarzschild coordinates", where the radial coordinate ##r## (what you are calling the "radius" although that is really a misnomer, see above) is defined so that the circumference is ##2 \pi r##.

2022年4月30日 · Remember, the Schwarzschild metric is a vacuum metric. So it only applies in the space outside a gravitating body. Only a black hole has a Schwarzschild radius that is in the vacuum region. For other objects, the ratio of their Schwarzschild radius and their physical radius indicates the curvature at the surface.

2016年12月12日 · A problem with the Schwarzschild view of black holes is that it depends upon a Euclidean view of space. The radius is defined from the perspective of an observer at infinite distance. This eliminates the spacetime dilation of the gravitational field. For one thing, the radius is defined from the center of mass out to the surface.

2013年12月3日 · Derivation Escape Escape velocity Radius Schwarzschild Schwarzschild radius Velocity In summary: Taylor says that the Newtonian escape velocity can be derived without using energy.In summary, the conversation discusses the coincidence of the form of the Schwarzschild radius and the Newtonian escape velocity when using the constants G, M, and c.

2010年7月9日 · The schwarzschild radius is the point at which a stable ORBIT would have to be at the speed of light (and that only applies to a non-spinning [non-kerr] black-hole). Questions: 1) Remember that acceleration is a change in velocity, not speed--so photons can be accelerated without changing their speed (thats the only way to accelerate them).

2009年12月5日 · The Schwarzschild radius can be calculated using the formula R s = 2GM/c 2, where G is the gravitational constant, M is the mass of the black hole, and c is the speed of light. What happens at the Schwarzschild radius? At the Schwarzschild radius, the gravitational pull of the black hole becomes so strong that even light cannot escape.

2015年7月26日 · It is mentioned that classical physics does not have a lower limit on the Schwarzschild radius, but a successful quantum theory of gravity may change this. There is also a discussion on the possibility of micro black holes being formed at the Large Hadron Collider, but there is currently no evidence for this.