Relativity and Wormholes. By Joaquin P Noyola PHYS 4117 – Learning by Seminar; Spring 2006. Outline. Brief Introduction to Relativity What are wormholes? Several wormhole systems Space Travel, Really? Current Reasearch. Inertial Frames.
By Joaquin P Noyola
PHYS 4117 – Learning by Seminar; Spring 2006
…are coordinate systems which obeyNewton’s laws and are not accelerating.
static (x, y, z) coordinate system
moving (x’, y’, z’) coordinate system
which is invariant from one inertial frame to another.
Comparing it to the interval in special relativity
Gravitational fields cause spacetime to bend, creating a potential well
Because of this bending, the object’s “straight-line” trajectory becomes curved to account for the curvature of space.
Even light follows this curved trajectory
Forces caused by the difference in a gravitational field from one point to another.
Fhead = 10g
Tidal force = 90g
Ffeet = 100g
It is caused by the bending of light towards the wall of the throat as it passes through the wormhole.
It is actually a Black Hole-Wormhole-White Hole system.
ds2 = - ( 1 - rs / r ) dt2 + ( 1 - rs / r )-1dr2 + r2dΩ2
Where rs = 2 G M / c2
It has tremendous tidal forces in its throat and outside its mouth due to the black hole. The throat is dynamic.
ds2 = - e2Φ(r)dt2 + dr2 + R(r)dΩ2
We want to create a traversable and stable wormhole for use in space travel.
At the moment it is beyond our reach, but there is no telling about whether future generations will do it.