Papapetrou Energy-Momentum Tensor for Chern-Simons Modified Gravity
David Guarrera, A. J. Hariton
TL;DR
This paper constructs a conserved energy-momentum tensor for Chern-Simons modified gravity, confirming Lorentz invariance and solutions for key spacetime metrics like Reissner-Nordstrom and FRW.
Contribution
It introduces a symmetric, conserved energy-momentum tensor for the theory, establishing its Lorentz invariance and solution validity for important metrics.
Findings
The tensor is conserved and symmetric.
Reissner-Nordstrom and FRW metrics are solutions.
The theory is confirmed to be Lorentz invariant.
Abstract
We construct a conserved, symmetric energy-momentum (pseudo-)tensor for Chern-Simons modified gravity, thus demonstrating that the theory is Lorentz invariant. The tensor is discussed in relation to other gravitational energy-momentum tensors and analyzed for the Schwarzschild, Reissner-Nordstrom, and FRW solutions. To our knowledge this is the first confirmation that the Reissner-Nordstrom and FRW metrics are solutions of the modified theory.
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