A black hole of mass

PHYSICS · Multi-part · Fermi University Physics · Relativity & Gravitation · Schwarzschild spacetime and the tests of general relativity · Schwarzschild spacetime and the tests of general relativity

The Geometry of Gravity, Ch Orbits and light rays in Schwarzschild spacetime

Problem

A black hole of mass M=1.4 M⊙M = 1.4\,M_\odot, the typical mass of a neutron star, is treated as a Schwarzschild source. Use GM⊙/c2=1.48GM_\odot/c^2 = 1.48 km. ((a)) Find the radius of the photon sphere, the unstable circular orbit of light. ((b)) Find the radius of the innermost stable circular orbit (ISCO) for a massive test particle.

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