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