Regularization of Gauss-Bonnet Gravity in Riemann-Cartan Geometry
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911262956322816 |
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| author | Qiu, Jianhui Luo, Ling-Wei Liu, Chunhui Geng, Chao-Qiang |
| author_facet | Qiu, Jianhui Luo, Ling-Wei Liu, Chunhui Geng, Chao-Qiang |
| contents | We extend the conformal dimensional-derivative regularization of four-dimensional Gauss- Bonnet gravity to Riemann-Cartan geometry, obtaining a regularized action whose torsionless limit equals the well-known regularized four-dimensional Einstein-Gauss-Bonnet model. Varying independently with respect to the scalar, tetrad, and spin connection yields field equations that remain strictly second order in covariant derivatives, thereby avoiding Ostrogradsky-type instabil- ities. Within this framework we obtain static, spherically symmetric black holes carrying torsion hair, showing that the regularized Gauss-Bonnet interaction can support long-range torsion hair without invoking extra dimensions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_26858 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regularization of Gauss-Bonnet Gravity in Riemann-Cartan Geometry Qiu, Jianhui Luo, Ling-Wei Liu, Chunhui Geng, Chao-Qiang General Relativity and Quantum Cosmology High Energy Physics - Theory We extend the conformal dimensional-derivative regularization of four-dimensional Gauss- Bonnet gravity to Riemann-Cartan geometry, obtaining a regularized action whose torsionless limit equals the well-known regularized four-dimensional Einstein-Gauss-Bonnet model. Varying independently with respect to the scalar, tetrad, and spin connection yields field equations that remain strictly second order in covariant derivatives, thereby avoiding Ostrogradsky-type instabil- ities. Within this framework we obtain static, spherically symmetric black holes carrying torsion hair, showing that the regularized Gauss-Bonnet interaction can support long-range torsion hair without invoking extra dimensions. |
| title | Regularization of Gauss-Bonnet Gravity in Riemann-Cartan Geometry |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.26858 |