- #1
deadringer
- 33
- 0
We need to show that using the Schwarzschild metric, an incoming radial spacelike geodesic satisfies r>= 1m/(1 + E^2)
I know that E = (1-2m/r) is constant, and I think that ds squared should be negative for a spacelike geodesic. I try substituting E into the metric and setting ds squared <=0 but this does not give the required expressions. I'm also unsure about the meaning of "incoming" - does this mean dr/ds or dr/dt < 0?
I know that E = (1-2m/r) is constant, and I think that ds squared should be negative for a spacelike geodesic. I try substituting E into the metric and setting ds squared <=0 but this does not give the required expressions. I'm also unsure about the meaning of "incoming" - does this mean dr/ds or dr/dt < 0?