The $μ$-deformed Einstein field equations with $μ$-dependent effective cosmological constant
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912772365746176 |
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| author | Mykhailiv, O. P. Mishchenko, Yu. A. Gavrilik, A. M. |
| author_facet | Mykhailiv, O. P. Mishchenko, Yu. A. Gavrilik, A. M. |
| contents | In this paper, we derive the $μ$-deformed Einstein field equations from the generalized thermodynamic functions of the $μ$-deformed analog of Bose gas model, applying the (adapted) Verlinde's approach. The basic role of deformation parameter is shown: it provides the possibility to vary the value of the cosmological constant. Due to this, we suggest an interesting treatment of the cosmological constant (CC) problem within the framework of $μ$-deformation. Namely, viewing the derived $μ$-deformed CC as an effective one and varying the parameter $μ$ appropriately, we gain the possibility to drastically reduce the CC, so as to get for it the realistic value. The relation to dark matter is of importance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17790 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $μ$-deformed Einstein field equations with $μ$-dependent effective cosmological constant Mykhailiv, O. P. Mishchenko, Yu. A. Gavrilik, A. M. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory In this paper, we derive the $μ$-deformed Einstein field equations from the generalized thermodynamic functions of the $μ$-deformed analog of Bose gas model, applying the (adapted) Verlinde's approach. The basic role of deformation parameter is shown: it provides the possibility to vary the value of the cosmological constant. Due to this, we suggest an interesting treatment of the cosmological constant (CC) problem within the framework of $μ$-deformation. Namely, viewing the derived $μ$-deformed CC as an effective one and varying the parameter $μ$ appropriately, we gain the possibility to drastically reduce the CC, so as to get for it the realistic value. The relation to dark matter is of importance. |
| title | The $μ$-deformed Einstein field equations with $μ$-dependent effective cosmological constant |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.17790 |