Cosmological perturbations of a relativistic MOND theory

Fuente: arXiv
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Autori principali: Hwang, Jai-chan, Noh, Hyerim
Natura: Preprint
Pubblicazione: 2024
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author Hwang, Jai-chan
Noh, Hyerim
author_facet Hwang, Jai-chan
Noh, Hyerim
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_10205
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Cosmological perturbations of a relativistic MOND theory
Hwang, Jai-chan
Noh, Hyerim
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
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.
title Cosmological perturbations of a relativistic MOND theory
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2410.10205