is broken (it tries to take one to the edit page of the intended page)
Fixed, thanks![URL='https://www.physicsforums.com/insights/author/urs-schreiber/']Urs Schreiber[/URL] said:
The Schwarzschild Metric is a mathematical description of the curvature of spacetime around a non-rotating massive object, such as a black hole. It was first derived by Karl Schwarzschild in 1916 and is a key component of Einstein's theory of general relativity.
The Photon Sphere is a region within the Schwarzschild Metric where the gravitational pull of a black hole is so strong that light can only travel in circular orbits. This means that any object within this region, including light particles, will be trapped and unable to escape the black hole's gravitational pull.
The event horizon of a black hole is the point of no return, beyond which the gravitational pull is so strong that nothing, including light, can escape. The Photon Sphere is located just outside the event horizon and marks the boundary where light can no longer escape in a straight line and must instead travel in circular orbits.
Yes, the gravitational pull of a black hole extends far beyond the Photon Sphere. In fact, the gravitational effects of a black hole can be felt even at great distances, as long as the object is within the black hole's gravitational field.
The Schwarzschild Metric has been used to explain the behavior of massive objects in space, such as black holes and galaxies. It has also been used to accurately predict the bending of light around massive objects, known as gravitational lensing. Additionally, the Schwarzschild Metric is used in the GPS system to correct for the effects of general relativity on the satellites' orbits.
