Black Holes

Stephen Hawking's theory of black holes and Richard Gott's theory of cosmic strings give hope to those seeking a route to time travel. (From YouTube)
Farhad2000says...

Black holes exert a gravitational pull that tends to rip matter right off a orbiting star, spinning at such high speeds into the event horizon that a funnel of x-rays shoots out... yeah I think that makes them pretty lethal.

botelhosays...

Well, space-time coordinate of one of those space-time manifold charts (covering the space-time manifold) is one object that you certainly can "travel" back and forth(remember Godel formal PDE's solution for Einstein equation ). However , what realy counts and play the role of the Newtonian time in general Einstein relativity is the unique proper-time of a given event !(this can not be back!). Note that still remains a problem to "adjust" colectivelly the proper time of several geodesics associated to the motion of several particles moving in the back ground of a given relativistic gravitational field (The twin paradox has not been fully understood !).Let me explain better : In the Einstein framework , one gives a certain energy-momentum configuration (the "Sun") (mathematically a tensor of rank two in relation to the Local dipheomorffism space-time manifold group) in the (tensorial bundle) of space-time manifold :a object from the beginning possesing solely a differentiable topological structure and after that (and if compatible with the manifold topology-Chern /Gauss theorem constraint, Riemann completeness ,etc..), one determines the topologically compatible local metric structure of the smooth space-time by means of the famous Einstein Equations.If everything is smooth from a geometrical point of view , one starts the prediction of the "falling" bodies trajectories in this gravitational field throught the solution of the Boundary-Value Sturm liouville like problem associated to the geodesics non linear equations (you should know the beginning and the final point of the falling body trajectory into the space-time ,not the initial point and its "initial velocity" as in Newton Equation).Now one can make further steps on the Einstein program by exchanging the mater-energy Einstein's source by boundary ad-hoc conditions simulating point sources -delta sources-(not dipheomorffism covariant) ,like the Schwartz-Schild solution for Einsteinian particle motions around the Sun), and thus leading to a rich mathematical universe ( astronomical and astrophysical/cosmological observable ?)

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