Welcome, mathematicians in space, to our Black Hole Brainteasers event! We've got a few fun problems for you to solve while navigating the complexities of wormholes and event horizons.
Problem 1: Calculate the trajectory of a spaceship through a Schwarzschild metric.
Problem 2: Find the maximum entropy of a black hole in equilibrium with a nearby star.
Problem 3: Determine the stability of a rotating black hole in the presence of a nearby massive object.
And finally, Problem 4: Prove the no-hair theorem for black holes with non-rotating horizons.