Revisiting Lifshitz-type solutions in $R^2$-corrected gravity
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915609520898048 |
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| author | Şentorun, Seçil |
| author_facet | Şentorun, Seçil |
| contents | In this work, we investigate higher-dimensional Lifshitz-type topological static and stationary solutions of $R^2$-corrected gravity theory using the language of differential forms. We obtain new product manifold solutions of the form $Li_{m}\times Ω_{(n-m)}$ , where $Li_m$ represents an $m$-dimensional Lifshitz type submanifold and $Ω_{(n-m)}$ denotes $(n-m)$-dimensional compact constant curvature manifold. In addition, we present hyperscaling Lifshitz solutions for arbitrary Lifshitz parameter $ z $. We also discuss some thermodynamical properties of both static and stationary solutions, including extremal cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07069 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisiting Lifshitz-type solutions in $R^2$-corrected gravity Şentorun, Seçil High Energy Physics - Theory In this work, we investigate higher-dimensional Lifshitz-type topological static and stationary solutions of $R^2$-corrected gravity theory using the language of differential forms. We obtain new product manifold solutions of the form $Li_{m}\times Ω_{(n-m)}$ , where $Li_m$ represents an $m$-dimensional Lifshitz type submanifold and $Ω_{(n-m)}$ denotes $(n-m)$-dimensional compact constant curvature manifold. In addition, we present hyperscaling Lifshitz solutions for arbitrary Lifshitz parameter $ z $. We also discuss some thermodynamical properties of both static and stationary solutions, including extremal cases. |
| title | Revisiting Lifshitz-type solutions in $R^2$-corrected gravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.07069 |