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Cosmological perturbations of a relativistic MOND theory
General Relativity and Quantum Cosmology · Submitted 14 Oct 2024
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that to 0PN order baryon perturbation grows faster in the MOND regime.
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The abstract, sentence by sentence
A relativistic MOND theory, promising in reproducing cosmology as well as the MOND phenomenology in the low acceleration regime, was recently proposed. We present the post-Newtonian (PN) approximation and relativistic perturbation equations of this theory in cosmological context. The PN equations are presented to 1PN order and perturbation equations are presented in fully-nonlinear and exact forms. The gauge issues are clarified. The 1PN equations and linear perturbation equations are presented without imposing temporal gauge conditions. We show that to 0PN order baryon perturbation grows faster in the MOND regime. The MOND field can be interpreted as a fluid with specific equation of state without anisotropic stress, and the Jeans criterion is derived for the MOND field.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A relativistic MOND theory, promising in reproducing cosmology as well as the MOND phenomenology in the low acceleration regime, was recently proposed. | background 0.99 | 0.07 | 0.07 | asserted 0.53 |
| s1 | We present the post-Newtonian (PN) approximation and relativistic perturbation equations of this theory in cosmological context. | contribution 0.98 | 0.94 | 0.07 | asserted 0.98 |
| s2 | The PN equations are presented to 1PN order and perturbation equations are presented in fully-nonlinear and exact forms. | contribution 0.81 | 0.90 | 0.07 | asserted 0.99 |
| s3 | The gauge issues are clarified. | contribution 0.92 | 0.80 | 0.04 | asserted 0.96 |
| s4 | The 1PN equations and linear perturbation equations are presented without imposing temporal gauge conditions. | contribution 0.56 | 0.91 | 0.09 | asserted 1.00 |
| s5 | We show that to 0PN order baryon perturbation grows faster in the MOND regime. | result 1.00 | 0.93 | 0.38 | asserted 1.00 |
| s6 | The MOND field can be interpreted as a fluid with specific equation of state without anisotropic stress, and the Jeans criterion is derived for the MOND field. | result 0.54 | 0.91 | 0.23 | asserted 1.00 |
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Original abstract
A relativistic MOND theory, promising in reproducing cosmology as well as the MOND phenomenology in the low acceleration regime, was recently proposed. We present the post-Newtonian (PN) approximation and relativistic perturbation equations of this theory in cosmological context. The PN equations are presented to 1PN order and perturbation equations are presented in fully-nonlinear and exact forms. The gauge issues are clarified. The 1PN equations and linear perturbation equations are presented without imposing temporal gauge conditions. We show that to 0PN order baryon perturbation grows faster in the MOND regime. The MOND field can be interpreted as a fluid with specific equation of state without anisotropic stress, and the Jeans criterion is derived for the MOND field.
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1 arXiv paper cite this in 1 sentence
Papers whose main result relates to this one's
States a conflicting result 1 paper
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Our results show that, considering the dynamic nature of the vector field, the faster growth of structures expected in the low-acceleration MOND regime is not recovered in the relativistic MOND.
Papers citing it
Cites it as background 1 paper
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These limitations have motivated the development of relativistic and covariant extensions, such as AQUAL [ref] , TeVeS [ref] , and several more recent formulations [ref] , which aim to provide a consistent description of gravitational phenomena across a wide range of scales.
Testing MOND-like modifications to gravity using growth-rate measurements and one-loop corrections to the matter power spectrum · Introduction · 0.84
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