Sunday, May 22, 2011

Time-Space Geometry Near Black hole

Geometry of  Time and Space Near Black Hole
Space geometry of a black hole and possible tra­jectories. R is the Schwarzschild radius. The in­creased warping of space as we come closer to the black hole results in several possible trajectories for objects in its vicinity. The trajectory will de­pend on three variables, the object's speed, its di­rection, and its distance.
An object (spaceship) moving at one-half the speed of light in the last stable orbit.


  • An object approaching head on is sucked into the black hole. 
  • An object on a nonradial trajectory falls into the black hole on a cu rved path. 
  • A photon passing outside the photon sphere is deflected at a large angle. 
  • A photon outside the photon sphere re­turns in a direction opposite to its original path. 
  • At the boundary of the photon sphere a photon moves continuously in a circular or­bit.