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Linearized gravity with matter time

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arxiv 1512.07854 v2 pith:4DWHY3T2 submitted 2015-12-24 gr-qc hep-th

Masooma Ali , Viqar Husain , Shohreh Rahmati , Jonathan Ziprick This is my paper · ORCID
classification gr-qchep-th
keywords modescalartheorycanonicaldustfieldgaugegraviton
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We study general relativity with pressureless dust in the canonical formulation, with the dust field chosen as a matter-time gauge. The resulting theory has three physical degrees of freedom in the metric field. The linearized canonical theory reveals two graviton modes and a scalar mode. We find that the graviton modes remain Lorentz covariant despite the time gauge, and that the scalar mode is ultralocal. We discuss also a modification of the theory to include a parameter in the Hamiltonian analogous to that in Horava-Lifshitz models. In this case the scalar mode is no longer ultralocal, and acquires a propagation speed dependent on the deformation parameter.

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  1. Polymer Bianchi-I with polymer matter

    gr-qc 2025-09 conditional novelty 5.0 of 10

    In a Bianchi-I universe with polymer quantization of both geometry and a massless scalar, the matter polymer scale shifts the quantum bounce and alters volume and anisotropy evolution.

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