Plebański-Demiański solutions in bigravity and Kerr-Schild double copy relations using an effective metric
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arXiv
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| Format: | Preprint |
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2024
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| author | García-Compeán, Hugo Ramos, César I. |
| author_facet | García-Compeán, Hugo Ramos, César I. |
| contents | In this work a formalism for proportional generalized double Kerr-Schild ansatz in bigravity is considered, where both metrics are coupled to matter. We study time-dependent and stationary solutions in the framework of the Kerr-Schild classical double copy and obtain the classical Kerr-Schild for the double, single and zeroth copy equations. For the time-dependent case, we use AdS waves solutions in bigravity previously studied in the literature. For the stationary case, we discuss a kind of Plebański-Demiański solutions in bigravity which permit different masses, NUT parameters, electric and magnetic charges, while the kinematical parameters are the same, and the cosmological constants related. These solution is presented in Plebański coordinates, and it is noticed that in these coordinates the description simplifies the classical double copy equations allowing a clearer interpretation in terms of the defined fields. We present and interpret some cases for these solutions for the separate matter sector and using the effective metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17191 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Plebański-Demiański solutions in bigravity and Kerr-Schild double copy relations using an effective metric García-Compeán, Hugo Ramos, César I. General Relativity and Quantum Cosmology High Energy Physics - Theory In this work a formalism for proportional generalized double Kerr-Schild ansatz in bigravity is considered, where both metrics are coupled to matter. We study time-dependent and stationary solutions in the framework of the Kerr-Schild classical double copy and obtain the classical Kerr-Schild for the double, single and zeroth copy equations. For the time-dependent case, we use AdS waves solutions in bigravity previously studied in the literature. For the stationary case, we discuss a kind of Plebański-Demiański solutions in bigravity which permit different masses, NUT parameters, electric and magnetic charges, while the kinematical parameters are the same, and the cosmological constants related. These solution is presented in Plebański coordinates, and it is noticed that in these coordinates the description simplifies the classical double copy equations allowing a clearer interpretation in terms of the defined fields. We present and interpret some cases for these solutions for the separate matter sector and using the effective metric. |
| title | Plebański-Demiański solutions in bigravity and Kerr-Schild double copy relations using an effective metric |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.17191 |