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2010

Gravitational Waves in the Spectral Action of Noncommutative Geometry

Nelson, William, Ochoa, Joseph, Sakellariadou, Mairi

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The spectral triple approach to noncommutative geometry allows one to develop the entire standard model (and supersymmetric extensions) of particle physics from a purely geometry stand point and thus treats both gravity and particle physics on the same footing.

The bosonic sector of the theory contains a modification to Einstein-Hilbert gravity, involving a nonconformal coupling of curvature to the Higgs field and conformal Weyl term (in addition to a nondynamical topological term).
In this paper we derive the weak field limit of this gravitational theory and show that the production and dynamics of gravitational waves are significantly altered.
In particular, we show that the graviton contains a massive mode that alters the energy lost to gravitational radiation, in systems with evolving quadrupole moment.

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T. v. d. Broek and W. D. van Suijlekom, arXiv:1003.3788 [hep-th]

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M. Buck, M. Fairbairn and M. Sakellariadou, [arXiv:1005.1188 [hep-th]]

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W. Nelson, J. Ochoa and M. Sakellariadou, “ Constraining the Noncommutative Spectral Action via Astrophysical Observations” ( in prepapration

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