General Relativity: Four Exterior Traversable Wormhole Metric Solutions...

[Orion1]

In Einstein's theory of General Relativity, the exterior metric or exterior metric solution, is an exact solution to the Einstein field equations and Einstein-Maxwell equations that describes the metric space-time geometry in the exterior of a non-rotating or rotating neutral or charged spherically symmetric metric, and that the electric charge and angular momentum of the metric may be zero or non-zero, and the universal cosmological constant is zero. For a non-zero charged metric, the metric takes into account the Einstein-Maxwell field energy of an electromagnetic field within the space-time geometry. The space-time geometry is in Boyer-Lindquist coordinates. A wormhole is a hypothetical structure which connects disparate points in spacetime. It may be visualized as a tunnel with two ends at separate points in spacetime, different locations, different points in time, or both. Wormholes are based on a special solution of the Einstein field equations.

"You will do well to expand your horizons." - Fortune Cookie

Any discussions and/or peer reviews about this specific topic thread?

Reference:
Wikipedia - Four-gradient As a Jacobian matrix for the SR Minkowski metric tensor: (ref. 1)
https://en.wikipedia.org/wiki/Four-gradient#As_a_Jacobian_matrix_for_the_SR_Minkowski_metric_tensor
Wikipedia - Minkowski space: (ref. 2)
https://en.wikipedia.org/wiki/Minkowski_space
Wikipedia - Wormhole: metrics: (ref. 3)
https://en.wikipedia.org/wiki/Wormhole#Metrics
Wikipedia - Ellis wormhole: (ref. 4)
https://en.wikipedia.org/wiki/Ellis_wormhole
Black Holes - An Introduction - Raine, Thomas: (ref. 5)
Wormholes, Time Machines, and the Weak Energy Condition - Morris, Thorne, Yurtsever: (ref. 6)
https://materias.df.uba.ar/rga2019c2/files/2019/11/MTY.pdf
Wikipedia - Exterior Reissner-Nordstrom metric: (ref. 7)
https://en.wikipedia.org/wiki/Reissner–Nordström_metric#Metric
The Particle Problem in the General Theory of Relativity - Einstein, Rosen: (ref. 8 )
https://journals.aps.org/pr/pdf/10.1103/PhysRev.48.73
Science Forums - General Relativity: Four Exterior Metric Solutions - Orion1: (ref. 9)
https://www.scienceforums.net/topic/126549-general-relativity-four-exterior-metric-solutions/

Science Forums - General Relativity: Four Interior Metric Solutions - Orion1: (ref. 10)
https://www.scienceforums.net/topic/126315-interior-reissner-nordstrom-metric/#findComment-1198344

 

 

 

Edited December 16, 2024 by Orion1
source code correction...