Do the Eddington-Finkelstein coordinates allow to cover the maximal analytic extension of the Schwarzschild spacetime? ans if not what region do they cover?
thanks for the reply. f is a scalar field. what do u mean what kind of covariant derivative i didn't know there were many. this is in the framework of general relativity..
hey, I'm getting really confused with something. If i have the covariant derivative of say, constant * exp(2f), is this equivalent to 2*constant*exp(2f) * cov.deriv. of f ?
hello!
just a quick question, does the covariant derivative of the metric give zero even when the indices(one of the indices) of the metric are(is) raised?
also another question not entirely related, does the covariant deriv. of exp(2 phi) where phi is the field, also give zero or not...
How do you calculate the area of a sphere? for example in schwarzschild geometry and considering only the three dimensional spatial metric, what would be the area (and how do u calculate it) of a sphere of radius 2M?