Answer Happy

A large spherical mass deforms spacetime, which is now described by the Schwarzschild metric: ds² = (1-rs/r) c²dt ² - (1 - rs/r)-¹ dr² - r² do ² - r² sen²0 do ². Consider a clock in circular orbit, in the plane 8 = π/2, in the vicinity of this large mass. Mark the statement that best represents a relationship between the proper time measured by the clock in circular orbit and the coordinates of this metric. Choose an option: c²dT² = (1-rs/r) c² dt ² a) b) c²dT² = (1-rs/r) ² dt ² - (1 - rs/r)-¹ dr² 2 c) c²dT² = (1 - rs/r) c²dt ² - r² do ² d) c²dr² = (1-rs/r) c²dt²-r² do ² 2 c²dT² = (1-rs/r) c²dt ² - r² do ² - r² do ² f) c²dT² = (1-rs/r) c²dt ² - (1 - rs/r)-¹ dr² - r²d0²_r² do ²