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arXiv:0807.2838gr-qc

A Bi-Metric Theory with Exchange Symmetry

S. Hossenfelder

Abstract

We propose an extension of General Relativity with two different metrics. To each metric we define a Levi-Cevita connection and a curvature tensor. We then consider two types of fields, each of which moves according to one of the metrics and its connection. To obtain the field equations for the second metric we impose an exchange symmetry on the action. As a consequence of this ansatz, additional source terms for Einstein's field equations are generated. We discuss the properties of these additional fields, and consider the examples of the Schwarzschild solution, and the Friedmann-Robertson-Walker metric.

arXiv comments
8 pages, no figures
Journal reference
Phys.Rev.D78:044015,2008
DOI
doi:10.1103/PhysRevD.78.044015
Subjects
gr-qcGeneral Relativity and Quantum Cosmology hep-phHigh Energy Physics, Phenomenology hep-thHigh Energy Physics, Theory

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Linked by 2 identifiable commenters in 3 comments across 2 threads, from May 2019 to Feb 2023.

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Discussed in comments2 threads

  1. Webb telescope spots super old, massive galaxies 1 comment

    • Physical and Mathematical Consistency of the Janus Cosmological Mode (Jean-Pierre Petit, Gilles D’Agostini, and Nathalie Debergh) > in 2008 and 2009, Hossenfelder in [17] and [18] builds her own bimetric model involving negative mass, from a Lagrangian derivation where she…

      blatant303View on HNParent context

  2. Janus cosmology: what is negative mass? 2 comments

    • This is the main point he's upset about. Because of his interest in the UFO phenomenon in the 70s and 80s he has been ostracized from the wider french community (mostly the state-run National Center of Scientific Research aka the CNRS). It's not a subject he wants to talk about…

      GorgeRondeView on HNParent context

    • Agreed. Now what's more interesting is that his model is close enough to the one developed in a paper from 2008 by Sabine Hossenfelder [1]. Close enough to be accused of plagiarism when he reached out to her. We discussed this article 5 months ago: "'Dark fluid' with negative…

      GorgeRondeView on HNParent context

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