BLACK HOLES II (136.029)

Compare the p = 1 case with the (computer-) experimental results for the Schwarzschild black hole by Nollert (Phys... Which solution do you obtain for the special case M = −1/8, J

Finally, for the dimensionless rate of period decrease you can equate the rate at which the total energy of a binary system changes, dE tot / dt ∝ d/ dt(−M 2 /R) to (minus)

It can be shown that for suitable choices of the func- tions U, V and for p = 1 the model above is classically equivalent to the s-wave part of General Relativity minimally coupled to

Consider a piece of coal at zero temperature and a laser beam (a pure quantum state with some finite energy and entropy) in vacuum as initial state.. Provided the laser beam is

Finally, check which constraints have (weakly) vanishing Poisson brackets among themselves and with the Hamiltonian — these are then first class constraints, while all other

Note: I am not sure what is the most efficient way of doing this calcula- tion; I started with the variation δ(g µν ∇ µ n ν ) and proceeded from there, but there might be a

Use this ar- gument to find a representation of the full quantum gravity partition function that is as simple as possible.. These exercises are due on June 14

But conceptually this exercise may be non- trivial, so remember what is a thermal state in AdS 3 , look up the Brown–Henneaux result for the central charges and recall that the sum