K-essence sources of Kerr-Schild spacetimes
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910915103817728 |
|---|---|
| author | Juhász, Bence Gergely, László Árpád |
| author_facet | Juhász, Bence Gergely, László Árpád |
| contents | We extend a result by one of the authors, established for nonvacuum Einstein gravity, to minimally coupled k-essence scalar-tensor theories. First we prove that in order to source a Kerr-Schild type spacetime, the k-essence Lagrangian should be at most quadratic in the kinetic term. This is reduced to linear dependence when the Kerr-Schild null congruence is autoparallel. Finally, we show that requiring the solutions of the Einstein equations linearized in Kerr-Schild type perturbations to also solve the full nonlinear system of Einstein equations, selects once again k-essence scalar fields with Lagrangians linear in the kinetic term. The only other k-essence sharing the property of sourcing perturbative Kerr-Schild spacetimes which are also exact, is the scalar field constant along the integral curves of the Kerr-Schild congruence, with otherwise unrestricted Lagrangian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14229 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | K-essence sources of Kerr-Schild spacetimes Juhász, Bence Gergely, László Árpád General Relativity and Quantum Cosmology We extend a result by one of the authors, established for nonvacuum Einstein gravity, to minimally coupled k-essence scalar-tensor theories. First we prove that in order to source a Kerr-Schild type spacetime, the k-essence Lagrangian should be at most quadratic in the kinetic term. This is reduced to linear dependence when the Kerr-Schild null congruence is autoparallel. Finally, we show that requiring the solutions of the Einstein equations linearized in Kerr-Schild type perturbations to also solve the full nonlinear system of Einstein equations, selects once again k-essence scalar fields with Lagrangians linear in the kinetic term. The only other k-essence sharing the property of sourcing perturbative Kerr-Schild spacetimes which are also exact, is the scalar field constant along the integral curves of the Kerr-Schild congruence, with otherwise unrestricted Lagrangian. |
| title | K-essence sources of Kerr-Schild spacetimes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.14229 |