Killing Vector Fields, Maxwell Equations and Lorentzian Spacetimes

Physics – Mathematical Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

In this version some misprints,typos and an incorrect statement have been corrected. The text has been presented at the 8th In

Scientific paper

In this paper we first analyze the structure of Maxwell equations in a Lorentzian spacetime where the potential A is proportional to 1-form K physically equivalent to a Killing vector field (supposed to exist). We show that such A obeys the Lorenz gauge and also a wave equation that can be written in terms of the covariant D'Alembertian or the Ricci operator. Moreover, we determine the correct current defined by that potential showing that it is of superconducting type, being two times the product of the components of A by the Ricci 1-form fields. We also study the structure of the spacetime generated by the coupled system consisting of a electromagnetic field F = dA (A, as above), an ideal charged fluid with dynamics described by an action function S and the gravitational field. We show that Einstein equations in this situation is then equivalent to Maxwell equations with a current givn by fFAF (the product meaning the Clifford product of the corresponding form fields), where f is a scalar function which satisfies a well determined algebraic quadratic equation.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Killing Vector Fields, Maxwell Equations and Lorentzian Spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Killing Vector Fields, Maxwell Equations and Lorentzian Spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Killing Vector Fields, Maxwell Equations and Lorentzian Spacetimes will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-183984

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.