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Gravitational energy-momentum density in teleparallel gravity

de Andrade VC1, Guillen, Pereira

  • 1Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 Sao Paulo SP, Brazil.

Physical Review Letters
|September 16, 2000
PubMed
Summary

A new conserved energy-momentum gauge current for the gravitational field was derived using gauge theory. This current is equivalent to Moller

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Area of Science:

  • Theoretical Physics
  • Gravitational Field Theory
  • Gauge Theory

Background:

  • Gauge theories are fundamental in describing fundamental forces.
  • Understanding the energy-momentum of the gravitational field is crucial.

Purpose of the Study:

  • To derive a conserved energy-momentum gauge current for the gravitational field within a gauge theory framework.
  • To explore the connection between gauge theory and the teleparallel equivalent of Einstein's field equations.

Main Methods:

  • Formulating a gauge theory for the translation group.
  • Obtaining a conserved gauge current for the gravitational field.
  • Rewriting the gauge gravitational field equation in a spacetime form.

Main Results:

  • A true spacetime and gauge tensor for the energy-momentum current was obtained.
  • The current transforms covariantly under global Lorentz transformations.
  • The gauge current was shown to be equivalent to Moller's canonical energy-momentum density.

Conclusions:

  • The study successfully derived a conserved energy-momentum gauge current within a gauge theory.
  • The teleparallel equivalent of Einstein's equation naturally emerges from this gauge formulation.
  • This work provides a new perspective on gravitational energy-momentum localization.

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