What does the Schwarzschild metric describe?
In Einstein’s theory of general relativity, the Schwarzschild metric (also known as the Schwarzschild solution) is an exact solution to the Einstein field equations that describes the gravitational field outside a spherical mass, on the assumption that the electric charge of the mass, angular momentum of the mass, and …
How do you calculate Schwarzschild radius?
The Schwarzschild radius formula is G = rc²/2m. Here, G is the gravitational constant, r is the Schwarzschild radius and m is the mass of the black hole.
What does the parameter m in the Schwarzschild line element stand for?
(7.29) This is true for any spherically symmetric vacuum solution to Einstein’s equations; M functions as a parameter, which we happen to know can be interpreted as the conventional Newtonian mass that we would measure by studying orbits at large distances from the gravitating source.
What is the Ergosphere of a black hole?
The ergosphere is the region wherein the spacetime continuum has been deformed by the black hole to such an extent that you can enter it and leave if you travelled fast enough (but less than at the speed of light).
What is meant by Schwarzschild radius?
Schwarzschild radius, also called gravitational radius, the radius below which the gravitational attraction between the particles of a body must cause it to undergo irreversible gravitational collapse. This phenomenon is thought to be the final fate of the more massive stars (see black hole).
What does Schwarzschild mean?
Definition of Schwarzschild radius : the radius of the spherical boundary within which a given mass (as of a star) must collapse to become a black hole also : the distance of the event horizon from the center of a black hole.
Is the Schwarzschild metric static?
The Schwarzschild Metric is a static spherically symmetric solution of the vacuum Einstein Equations. It is one of the most important metrics in General Relativity.
What is Jupiter Schwarzschild?
The Schwarzschild radius is the radius of the event horizon surrounding a non-rotating black hole. Any object with a physical radius smaller than its Schwarzschild radius will be a black hole.
Is Schwarzschild metric asymptotically flat?
Only spacetimes which model an isolated object are asymptotically flat. A simple example of an asymptotically flat spacetime is the Schwarzschild metric solution.
What is the Schwarzschild limit?
The Schwarzschild radius for the Earth is approximately one inch, meaning that you could squish the entire mass of the Earth into a sphere the size of a basketball and still not have a black hole: light emitted from that mass can still escape the intense gravitational pull.
Can you escape ergosphere?
Since the ergosphere is outside the event horizon, it is still possible for objects that enter that region with sufficient velocity to escape from the gravitational pull of the black hole.