On gravitational Lagrangians in flat space-time

Details On gravitational Lagrangians in flat space-time On gravitational Lagrangians in flat space-time

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980nciml..28..471c&link_type=abstract

Nuovo Cimento, Lettere, Serie 2, vol. 28, Aug. 2, 1980, p. 471-475.

Physics

Euler-Lagrange Equation, Gravitation Theory, Particle Motion, Space-Time Functions, Variational Principles, Differential Equations, Equations Of Motion, Tensors

Scientific paper

Consideration is given to the set of all gravitational theories based on a unique variational principle with a generic Lagrangian that leads to a flat space-time such that the theory is free of internal inconsistencies. Motion and field equations are derived from a variational principle on the model of electromagnetic action in flat space-time, assuming that the only symmetry of the Lagrangian is that it is not an explicit function of the arc length. It is shown that the necessary and sufficient condition for the space-time to be flat is that the particle plus interaction Lagrangians be equal to the sum of a homogeneous function of degree 1 of the absolute velocity and an arbitrary function of the constant metric tensor of flat space-time and the particle velocity, which is not equal to the sum of a constant product of the parameters and a constant.

Affiliated with

Also associated with

No associations

Rating

On gravitational Lagrangians in flat space-time 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 On gravitational Lagrangians in flat space-time, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On gravitational Lagrangians in flat space-time will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1275781