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The Relation between Physical and Gravitational Geometry

6 Pith papers cite this work. Polarity classification is still indexing.

6 Pith papers citing it
abstract

The appearance of two geometries in one and the same gravitational theory is familiar. Usually, as in the Brans-Dicke theory or in string theory, these are conformally related Riemannian geometries. Is this the most general relation between the two geometries allowed by physics ? We study this question by supposing that the physical geometry on which matter dynamics take place could be Finslerian rather than just Riemannian. An appeal to the weak equivalence principle and causality then leads us the conclusion that the Finsler geometry has to reduce to a Riemann geometry whose metric - the physical metric - is related to the gravitational metric by a generalization of the conformal transformation.

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UNVERDICTED 6

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representative citing papers

Probing Solar Symmetrons with Direct Detection

hep-ph · 2026-04-10 · unverdicted · novelty 7.0

Solar tachocline production of symmetrons yields a keV-scale flux at Earth whose absorption in xenon detectors provides new complementary bounds on symmetron parameter space.

The Unknown Face of Scalar-Tensor Gravitational Theories

gr-qc · 2025-03-17 · unverdicted · novelty 5.0

The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while passive ones do not.

Modified Gravity and Cosmology

astro-ph.CO · 2011-06-13 · unverdicted · novelty 2.0

A comprehensive review of modified gravity theories and their cosmological consequences, including a parameterized post-Friedmannian formalism for constraining deviations from General Relativity.

citing papers explorer

Showing 6 of 6 citing papers.

  • Degenerate higher-order scalar-tensor theories in metric-affine gravity gr-qc · 2025-12-02 · unverdicted · none · ref 43 · internal anchor

    A metric-affine version of quadratic DHOST theories is derived and reduced to a one-function family that satisfies degeneracy conditions and light-speed gravitational wave propagation.

  • Probing Solar Symmetrons with Direct Detection hep-ph · 2026-04-10 · unverdicted · none · ref 78

    Solar tachocline production of symmetrons yields a keV-scale flux at Earth whose absorption in xenon detectors provides new complementary bounds on symmetron parameter space.

  • Could a so far ignored symmetry of the classical laws of gravity explain the cosmological puzzles? gr-qc · 2025-10-11 · unverdicted · none · ref 10 · internal anchor

    Weyl symmetry of gravity is restored if masses transform as m → Ω^{-1}m under conformal changes, allowing any matter to couple invariantly and potentially accounting for dark energy and dark matter.

  • The Unknown Face of Scalar-Tensor Gravitational Theories gr-qc · 2025-03-17 · unverdicted · none · ref 5 · internal anchor

    The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while passive ones do not.

  • Conformal form-invariant parametrization of scalar-tensor gravity theories: A critical analysis gr-qc · 2025-04-08 · unverdicted · none · ref 11 · internal anchor

    A critical review of conformal form-invariant parametrization in scalar-tensor theories, testing its novelty relative to existing frames and the universality of frame-invariant physical predictions.

  • Modified Gravity and Cosmology astro-ph.CO · 2011-06-13 · unverdicted · none · ref 127

    A comprehensive review of modified gravity theories and their cosmological consequences, including a parameterized post-Friedmannian formalism for constraining deviations from General Relativity.