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Are electrical fields affected by the space time curvature of gravity under GR?
atyy said:Space time curvature is also affected by electrical fields.
Bible Thumper said:I thought the structure of space was determined by the presence of matter.
Space time curvature is also affected by electrical fields.
Naty1 said:...I would have thought here in this thread, in local reference frames, the curvature of gravity would normally be so minor so gravity would have virtually no effect on EM fields...
Phrak said:Hi, tim_lou. Do you have the vacuum wave equation in F in covariant form at your disposal?
tim_lou said:Can't really cough it up just on top of my head...
wouldn't it just be solving for F using
[tex]\nabla_\beta F^{\alpha\beta}=0[/tex]
[tex]G^{\mu\nu}=8\pi GT^{\mu\nu}=8\pi G \left(-\frac{1}{4}F^{\mu}\,\!_{\alpha}F^{\alpha\nu} + g^{\mu\nu} F^{\alpha\beta}F_{\alpha\beta}\right)[/tex]
Coulombs law of electric force, (kqq/r^2) and Newtons law of gravitational forces (Gmm/r^2) differ from one another in that in Coulombs Law the electric charges play the role reserved in Newton's Law for the masses...Coulomb's laws holds rigorously only if the charged bodies do not move with respect to each other...whenever the charged particles move relative to each other Coulomb's Law must be replaced by a much more complex interaction...best described in terms of the fields of the interacting charges.
Phrak said:Hi, tim_lou. Do you have the vacuum wave equation in F in covariant form at your disposal?
Are electrical fields affected by the space time curvature of gravity under GR
Gravity does not directly affect electrical fields. However, the presence of a gravitational field can affect the motion of charged particles, which can in turn affect the strength and direction of electrical fields.
No, gravity does not change the strength of an electrical field. The strength of an electrical field is determined by the charges and their positions, and is not affected by gravity.
Yes, all objects with mass have a gravitational field, and this can affect the motion of charged particles, thus impacting electrical fields.
There is no direct relationship between gravity and electrical fields. However, the presence of a gravitational field can indirectly affect electrical fields through the motion of charged particles.
Yes, electrical fields can exist in a zero-gravity environment. The presence of gravity is not necessary for the existence of electrical fields, as they are created by the interaction of charged particles.