Generalized Einstein-ModMax-ScalarField theories and new exact solutions
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917364241530880 |
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| author | Bixano, Leonel Matos, Tonatiuh |
| author_facet | Bixano, Leonel Matos, Tonatiuh |
| contents | We present a generalized Ernst-type framework for stationary, axisymmetric spacetimes in which a scalar field is coupled to the electrodynamic field, with a particular focus on the ModMax theory. Our approach relies on the Weyl stationary-axisymmetric ansatz and explicitly allows for a nonzero rotational metric function, $ω\neq 0$. The resulting setup is broad enough to encompass wide classes of scalar couplings, including dilatonic and phantom-like sectors, and can be tailored to specific models such as Einstein-ModMax, Kaluza-Klein theories, low-energy string-inspired scenarios, entanglement relativity and related generalizations. Within this scheme, we derive two novel families of exact rotating solutions in the sector where the electromagnetic invariants obey $\mathcal F/\mathcal G=\mathrm{constant}$. This regime is particularly significant for ModMax, as it preserves genuinely nonlinear features while still admitting an analytically manageable description. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26073 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generalized Einstein-ModMax-ScalarField theories and new exact solutions Bixano, Leonel Matos, Tonatiuh General Relativity and Quantum Cosmology 83C15, 83C22, 83C20, 83C60 We present a generalized Ernst-type framework for stationary, axisymmetric spacetimes in which a scalar field is coupled to the electrodynamic field, with a particular focus on the ModMax theory. Our approach relies on the Weyl stationary-axisymmetric ansatz and explicitly allows for a nonzero rotational metric function, $ω\neq 0$. The resulting setup is broad enough to encompass wide classes of scalar couplings, including dilatonic and phantom-like sectors, and can be tailored to specific models such as Einstein-ModMax, Kaluza-Klein theories, low-energy string-inspired scenarios, entanglement relativity and related generalizations. Within this scheme, we derive two novel families of exact rotating solutions in the sector where the electromagnetic invariants obey $\mathcal F/\mathcal G=\mathrm{constant}$. This regime is particularly significant for ModMax, as it preserves genuinely nonlinear features while still admitting an analytically manageable description. |
| title | Generalized Einstein-ModMax-ScalarField theories and new exact solutions |
| topic | General Relativity and Quantum Cosmology 83C15, 83C22, 83C20, 83C60 |
| url | https://arxiv.org/abs/2603.26073 |