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Merging matter and geometry in the same Lagrangian

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arxiv 1506.03278 v2 pith:CBJZOIIT submitted 2015-06-10 gr-qc

classification gr-qc
keywords lagrangianmatterdensitygeometrygravitysameactualcannot
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abstract

We show that a Lagrangian density proportional to $\sqrt{-g} \L_m^2/R$ reduces to a pressuron theory of gravity that is indistinguishable from General Relativity in the dust limit. The combination of matter and geometry in the same Lagrangian density intrinsically satisfies Mach's Principle --- since matter cannot exist without curvature and vice versa --- while it may have the correct phenomenology in order to describe actual gravity.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Numerical evaluation of the exact post-Newtonian parameters in Brans-Dicke and entangled relativity theories

    gr-qc 2026-02 conditional novelty 6.0 of 10

    First numerical evaluation of the exact strong-field post-Newtonian parameters in Brans–Dicke and Entangled Relativity: neutron-star deviations up to ~46% from standard values, and dipolar gravitational-wave predictio...

  2. On the Principle of Relativity of Inertia in both General and Entangled Relativities

    gr-qc 2025-05 reject novelty 5.0 of 10

    The paper argues that Entangled Relativity, by construction, forbids matter-free spacetimes and therefore better satisfies Einstein's Machian principle of relativity of inertia than General Relativity does.

  3. Slowly rotating and charged Black-holes in Entangled Relativity

    gr-qc 2024-11 conditional novelty 5.0 of 10

    New first-order-in-spin rotating charged black hole solutions are found for Entangled Relativity, using a conformal map from known Einstein-Maxwell-dilaton solutions.

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