Tripotential MOND theories ...
I present a new class of nonrelativistic, modified-gravity MOND theories. The three gravitational degrees of freedom of these ``TRIMOND'' theories are the MOND potential and two auxiliary potentials, one of which emerges as the Newtonian potential. Their Lagrangians involve a function of t...
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| Format: | Article in Journal/Newspaper |
| Language: | unknown |
| Published: |
arXiv
2023
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| Online Access: | https://dx.doi.org/10.48550/arxiv.2305.19986 https://arxiv.org/abs/2305.19986 |
| Summary: | I present a new class of nonrelativistic, modified-gravity MOND theories. The three gravitational degrees of freedom of these ``TRIMOND'' theories are the MOND potential and two auxiliary potentials, one of which emerges as the Newtonian potential. Their Lagrangians involve a function of three acceleration variables -- the gradients of the potentials. So, the transition from the Newtonian to the MOND regime is rather richer than in the aquadratic-Lagrangian theory (AQUAL) and the quasilinear MOND theory (QUMOND), which are special cases of TRIMOND, each defined by a Lagrangian function of a single variable. In particular, unlike AQUAL and QUMOND whose deep-MOND limit (DML) is fully dictated by the required scale invariance, here, the scale-invariant DML still requires specifying a function of two variables. For one-dimensional (e.g., spherical) mass distributions, in all TRIMOND theories the MOND acceleration is a (theory specific, but system independent) function of the Newtonian acceleration; their variety ... : 8 pages. Matching the published version in Phys. Rev. D. A more elegant, and more general, presentation of the theory and of its deep-MOND limit. Generalized discussion of the deep-MOND limit of one-D (e.g., spherical) configurations ... |
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