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Papapetrou energy-momentum tensor for Chern-Simons modified gravity

David Guarrera* and A. J. Hariton†

  • Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *guarrera@mit.edu
  • †hariton@lns.mit.edu
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Phys. Rev. D 76, 044011 – Published 16 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.044011

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 Friedmann-Robertson-Walker solutions. To our knowledge this is the first confirmation that the Reissner-Nordstrom and Friedmann-Robertson-Walker metrics are solutions of the modified theory.

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Phys. Rev. D 76, 044011– Published 16 August, 2007
  • Received 6 February 2007

© 2007 American Physical Society

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