Kerr-Schild double field theory and classical double copy
Abstract The Kerr-Schild (KS) formalism is a powerful tool for constructing exact solutions in general relativity. In this paper, we present a generalization of the conventional KS formalism to double field theory (DFT) and supergravities. We introduce a generalized KS ansatz for the generalized met...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)027 |
| _version_ | 1818026771798294528 |
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| author | Kanghoon Lee |
| author_facet | Kanghoon Lee |
| author_sort | Kanghoon Lee |
| collection | DOAJ |
| description | Abstract The Kerr-Schild (KS) formalism is a powerful tool for constructing exact solutions in general relativity. In this paper, we present a generalization of the conventional KS formalism to double field theory (DFT) and supergravities. We introduce a generalized KS ansatz for the generalized metric in terms of a pair of null vectors. Applying this ansatz to the equations of motion of DFT, we construct the generalized KS field equation. While the generalized KS equations are quadratic in the fields, we show that it is possible to find solutions by considering linear equations only. Furthermore, we construct a Killing spinor equation under the generalized KS ansatz. Based on this formalism, we show that the classical double copy structure, which represents solutions of the Einstein equation in terms of solutions of the Maxwell equation, can be extended to the entire massless string NS-NS sector. We propose a supersymmetric classical double copy which shows that solutions of the Killing spinor equation can be realized in terms of solutions of the BPS equation of the supersymmetric Maxwell theory. |
| first_indexed | 2024-12-10T04:37:18Z |
| format | Article |
| id | doaj.art-35de6d18033741e9b5ea76155e2aeaea |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T04:37:18Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-35de6d18033741e9b5ea76155e2aeaea2022-12-22T02:01:58ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181014010.1007/JHEP10(2018)027Kerr-Schild double field theory and classical double copyKanghoon Lee0Fields, Gravity & Strings @ CTPU, Institute for Basic ScienceAbstract The Kerr-Schild (KS) formalism is a powerful tool for constructing exact solutions in general relativity. In this paper, we present a generalization of the conventional KS formalism to double field theory (DFT) and supergravities. We introduce a generalized KS ansatz for the generalized metric in terms of a pair of null vectors. Applying this ansatz to the equations of motion of DFT, we construct the generalized KS field equation. While the generalized KS equations are quadratic in the fields, we show that it is possible to find solutions by considering linear equations only. Furthermore, we construct a Killing spinor equation under the generalized KS ansatz. Based on this formalism, we show that the classical double copy structure, which represents solutions of the Einstein equation in terms of solutions of the Maxwell equation, can be extended to the entire massless string NS-NS sector. We propose a supersymmetric classical double copy which shows that solutions of the Killing spinor equation can be realized in terms of solutions of the BPS equation of the supersymmetric Maxwell theory.http://link.springer.com/article/10.1007/JHEP10(2018)027Classical Theories of GravityGauge-gravity correspondenceString Duality |
| spellingShingle | Kanghoon Lee Kerr-Schild double field theory and classical double copy Journal of High Energy Physics Classical Theories of Gravity Gauge-gravity correspondence String Duality |
| title | Kerr-Schild double field theory and classical double copy |
| title_full | Kerr-Schild double field theory and classical double copy |
| title_fullStr | Kerr-Schild double field theory and classical double copy |
| title_full_unstemmed | Kerr-Schild double field theory and classical double copy |
| title_short | Kerr-Schild double field theory and classical double copy |
| title_sort | kerr schild double field theory and classical double copy |
| topic | Classical Theories of Gravity Gauge-gravity correspondence String Duality |
| url | http://link.springer.com/article/10.1007/JHEP10(2018)027 |
| work_keys_str_mv | AT kanghoonlee kerrschilddoublefieldtheoryandclassicaldoublecopy |