A Modified Gravitational Theory of the Matter Sector of the Type $ϕ(R,T)\mathcal{L}_{m}$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912698181091328 |
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| author | Teruel, Gines R. Pérez Peña, Antonio Peña |
| author_facet | Teruel, Gines R. Pérez Peña, Antonio Peña |
| contents | We investigate a modified gravity framework where the geometric Einstein--Hilbert sector remains untouched while the matter Lagrangian is weighted by a nontrivial function $ϕ(T)$ of the energy--momentum trace. Unlike $f(R,T)$ or $f(R,\mathcal L_m)$ theories, this construction alters how matter curves spacetime without introducing extra geometric degrees of freedom, thereby remaining consistent with local tests of gravity. Physically, the factor $ϕ(T)\mathcal L_m$ can be interpreted as an effective renormalization of the matter sector, relevant at high densities and smoothly reducing to GR at low densities. Within this setup we identify a robust window in parameter space leading to a smooth and nonsingular cosmological bounce, with bounded density, finite $\dot H>0$ at the bounce, and preservation of the infrared limit where $Λ$CDM is recovered. This mechanism provides a natural route to singularity resolution while retaining the empirical successes of standard cosmology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06811 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Modified Gravitational Theory of the Matter Sector of the Type $ϕ(R,T)\mathcal{L}_{m}$ Teruel, Gines R. Pérez Peña, Antonio Peña General Relativity and Quantum Cosmology We investigate a modified gravity framework where the geometric Einstein--Hilbert sector remains untouched while the matter Lagrangian is weighted by a nontrivial function $ϕ(T)$ of the energy--momentum trace. Unlike $f(R,T)$ or $f(R,\mathcal L_m)$ theories, this construction alters how matter curves spacetime without introducing extra geometric degrees of freedom, thereby remaining consistent with local tests of gravity. Physically, the factor $ϕ(T)\mathcal L_m$ can be interpreted as an effective renormalization of the matter sector, relevant at high densities and smoothly reducing to GR at low densities. Within this setup we identify a robust window in parameter space leading to a smooth and nonsingular cosmological bounce, with bounded density, finite $\dot H>0$ at the bounce, and preservation of the infrared limit where $Λ$CDM is recovered. This mechanism provides a natural route to singularity resolution while retaining the empirical successes of standard cosmology. |
| title | A Modified Gravitational Theory of the Matter Sector of the Type $ϕ(R,T)\mathcal{L}_{m}$ |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.06811 |