(12.68), is only true outside the massive body, just like Newton's gravitational potential, V(r) = −GM/r, is only true outside the mass M (rSch is about 2900 m for the Sun whose physical radius is about 7 × 105 km. For the Earth rSch is about 0.88 cm!). However, there...
It is shown explicitly that a new interior Schwarzschild solution satisfies a set of necessary and sufficient conditions for a spherically symmetric metric to join smoothly onto the vacuum field at a nonnull boundary surface. Moreover, the conditions do not prevent the radius of a spherical ...
Calculate the Schwarzschild radius for a 5 {eq}M_{Sun} {/eq} black hole that formed in the supernova of a massive star. Schwarzschild Radius: The Schwarzschild radius is a property of a black hole, and describes the distance from the black hole w...
Schwarzschild radius and what it depends on Identifying an object with the largest Schwarzschild radius The term for the boundary where escape velocity equals the speed of light Definition of a Schwarzschild black hole Determining how gravity is affected near a Schwarzschild radius as mass increa...
Thirring's well-known result; (2) for large masses, whose Schwarzschild radius approaches the shell radius, the induced rotation approaches the rotation of... Dieter,R.,Brill,... - 《Physical Review》 被引量: 174发表: 1966年 Evaluation of PPN parameter Gamma as a test of General Relativity...
In general relativity the amplitude of the perturbation is dominated by high velocity effects, which grow linearly in the radius $r$ of the circular orbit, while the leading term surviving the Newtonian limit decays as $1/r$. Thus even for very large radii a significant difference between ...