formula to solve relativity
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e=mc square
e=energy
m mass
c speed of light
e=energy
m mass
c speed of light
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1
solution of a GR (general relativing )equation maybe two planet system ?
Or It could be a different system.I just wonder
1-How much its difficult ( Like can a person calculate those solutions)
2- Whats the boundries (Like we can solve 2 planet system but not 5 etc ? )
3- Can current computers or Quantum Computers can solve them ?
4-Why its so hard to solve them ?
Jun 24, 2017
#2
vanhees71
GR is a non-linear theory, and that makes it hard to find exact solutions, although there are some like the Schwarzschild solution (found in 1916 by Schwarzschild quickly after Einstein had formulated the complete theory), Reisner-Nordstroem solution, Kerr solution, Friedmann-Lemaitre-Robertson-Walker solution.
As far as I know there's no exact self-consistent solution for the two-body problem. Of course you can calculate the motion of a very light body around a very heavy one by taking the heavy body as "source" of the gravitational field, leading to the (outer) Schwarzschild solution and treat the light body as "test body" moving on a geodesic in the fixed Schwarzschild space time. Another way is to use the post-Newtonian approach, i.e., approximate the equations of motion first by the non-relativistic (Newtonian) approximation and then make relativistic corrections in perturbation theory.
MARK AS BRAINLEAST
Or It could be a different system.I just wonder
1-How much its difficult ( Like can a person calculate those solutions)
2- Whats the boundries (Like we can solve 2 planet system but not 5 etc ? )
3- Can current computers or Quantum Computers can solve them ?
4-Why its so hard to solve them ?
Jun 24, 2017
#2
vanhees71
GR is a non-linear theory, and that makes it hard to find exact solutions, although there are some like the Schwarzschild solution (found in 1916 by Schwarzschild quickly after Einstein had formulated the complete theory), Reisner-Nordstroem solution, Kerr solution, Friedmann-Lemaitre-Robertson-Walker solution.
As far as I know there's no exact self-consistent solution for the two-body problem. Of course you can calculate the motion of a very light body around a very heavy one by taking the heavy body as "source" of the gravitational field, leading to the (outer) Schwarzschild solution and treat the light body as "test body" moving on a geodesic in the fixed Schwarzschild space time. Another way is to use the post-Newtonian approach, i.e., approximate the equations of motion first by the non-relativistic (Newtonian) approximation and then make relativistic corrections in perturbation theory.
MARK AS BRAINLEAST
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