Phase structure and optical properties of the de Sitter Spacetime with KR field based on the Lyapunov exponent
Abstract Since the spontaneously broken of the Lorentz symmetry in the gravity theory with the non-minimally coupling between the Kalb–Ramond (KR) field (that acquires a nonzero vacuum expectation value) and the Einstein gravity, there exists the exactly static and spherically symmetric black holes...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13809-7 |
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| _version_ | 1832585463233249280 |
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| author | Yun-Zhi Du Huai-Fan Li Yu-Bo Ma Qiang Gu |
| author_facet | Yun-Zhi Du Huai-Fan Li Yu-Bo Ma Qiang Gu |
| author_sort | Yun-Zhi Du |
| collection | DOAJ |
| description | Abstract Since the spontaneously broken of the Lorentz symmetry in the gravity theory with the non-minimally coupling between the Kalb–Ramond (KR) field (that acquires a nonzero vacuum expectation value) and the Einstein gravity, there exists the exactly static and spherically symmetric black holes solutions related with the Lorentz violating parameter. Based on this, we consider the corresponding black hole solution in the de-Sitter (dS) spacetime with the KR field and investigate the thermodynamic properties in the expanded phase space through introducing the interplay entropy between the black hole and cosmological horizons. Especially we analyze the effect of the Lorentz-violating parameter on the thermodynamic properties. Furthermore, the Lyapunov exponent and the shadow of these static and spherically symmetric black holes in this Lorentz-violating gravity theory are also investigated. These study will open a new perspective to probe the thermodynamics of black holes. |
| format | Article |
| id | doaj-art-eb2d04537c064867a749e813fcffd36f |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-eb2d04537c064867a749e813fcffd36f2025-01-26T12:49:10ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111210.1140/epjc/s10052-025-13809-7Phase structure and optical properties of the de Sitter Spacetime with KR field based on the Lyapunov exponentYun-Zhi Du0Huai-Fan Li1Yu-Bo Ma2Qiang Gu3Department of Physics, Shanxi Datong UniversityInstitute of Theoretical Physics, Shanxi Datong UniversityDepartment of Physics, Shanxi Datong UniversityInstitute of Theoretical Physics, Shanxi Datong UniversityAbstract Since the spontaneously broken of the Lorentz symmetry in the gravity theory with the non-minimally coupling between the Kalb–Ramond (KR) field (that acquires a nonzero vacuum expectation value) and the Einstein gravity, there exists the exactly static and spherically symmetric black holes solutions related with the Lorentz violating parameter. Based on this, we consider the corresponding black hole solution in the de-Sitter (dS) spacetime with the KR field and investigate the thermodynamic properties in the expanded phase space through introducing the interplay entropy between the black hole and cosmological horizons. Especially we analyze the effect of the Lorentz-violating parameter on the thermodynamic properties. Furthermore, the Lyapunov exponent and the shadow of these static and spherically symmetric black holes in this Lorentz-violating gravity theory are also investigated. These study will open a new perspective to probe the thermodynamics of black holes.https://doi.org/10.1140/epjc/s10052-025-13809-7 |
| spellingShingle | Yun-Zhi Du Huai-Fan Li Yu-Bo Ma Qiang Gu Phase structure and optical properties of the de Sitter Spacetime with KR field based on the Lyapunov exponent European Physical Journal C: Particles and Fields |
| title | Phase structure and optical properties of the de Sitter Spacetime with KR field based on the Lyapunov exponent |
| title_full | Phase structure and optical properties of the de Sitter Spacetime with KR field based on the Lyapunov exponent |
| title_fullStr | Phase structure and optical properties of the de Sitter Spacetime with KR field based on the Lyapunov exponent |
| title_full_unstemmed | Phase structure and optical properties of the de Sitter Spacetime with KR field based on the Lyapunov exponent |
| title_short | Phase structure and optical properties of the de Sitter Spacetime with KR field based on the Lyapunov exponent |
| title_sort | phase structure and optical properties of the de sitter spacetime with kr field based on the lyapunov exponent |
| url | https://doi.org/10.1140/epjc/s10052-025-13809-7 |
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