Exact Kerr--Schild spacetimes from linearized kinetic gravity braiding
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arXiv
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| Format: | Preprint |
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2025
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| author | Juhász, Bence Gergely, László Árpád |
| author_facet | Juhász, Bence Gergely, László Árpád |
| contents | We generalize our recent work on k-essence sourcing Kerr--Schild spacetimes to kinetic gravity braiding scalar field. For k-essence, in order a perturbative Kerr--Schild type solution to become exact, the k-essence Lagrangian was either linear in the kinetic term (with the Kerr--Schild congruence autoparallel) or unrestricted, provided the scalar gradient along the congruence vanishes. A similar reasoning for the pure kinetic braiding contribution leads to either a vanishing Lagrangian or a scalar which is constant along the congruence. From the scalar dynamics we also derive an accompanying constraint. Finally, we discuss pp-waves, an example of Kerr--Schild spacetime generated by a constant k-essence along the Kerr--Schild congruence with vanishing Lagrangian. This allows for the construction of a Fock-type space, consisting of a tower of Kerr--Schild maps first yielding a vacuum pp-wave from flat spacetime; next a k-essence generated pp-wave from the vacuum pp-wave; and finally an arbitrary number of k-essence pp-waves with different, retarded time dependent metric functions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_20576 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact Kerr--Schild spacetimes from linearized kinetic gravity braiding Juhász, Bence Gergely, László Árpád General Relativity and Quantum Cosmology We generalize our recent work on k-essence sourcing Kerr--Schild spacetimes to kinetic gravity braiding scalar field. For k-essence, in order a perturbative Kerr--Schild type solution to become exact, the k-essence Lagrangian was either linear in the kinetic term (with the Kerr--Schild congruence autoparallel) or unrestricted, provided the scalar gradient along the congruence vanishes. A similar reasoning for the pure kinetic braiding contribution leads to either a vanishing Lagrangian or a scalar which is constant along the congruence. From the scalar dynamics we also derive an accompanying constraint. Finally, we discuss pp-waves, an example of Kerr--Schild spacetime generated by a constant k-essence along the Kerr--Schild congruence with vanishing Lagrangian. This allows for the construction of a Fock-type space, consisting of a tower of Kerr--Schild maps first yielding a vacuum pp-wave from flat spacetime; next a k-essence generated pp-wave from the vacuum pp-wave; and finally an arbitrary number of k-essence pp-waves with different, retarded time dependent metric functions. |
| title | Exact Kerr--Schild spacetimes from linearized kinetic gravity braiding |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.20576 |