Gravitational shockwave on the Kerr-AdS horizon
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Abstract
I generalize the Dray-’t Hooft gravitational shockwave to the Kerr-AdS background.
Keywords
Exact solution Rotating black hole Differential geometry General relativity Kerr-AdS metric Dray-’t Hooft Gravitational shockwave Newman–Penrose formalism Geroch–Held–Penrose formalismNotes
Acknowledgements
I thank Joe Swearngin and Nick Hunter-Jones for preliminary work on this project and for feedback on the final product. I am grateful to Douglas Stanford for taking the time to read a draft and float potential applications of my formalism. I also thank Dante, Maria, and Sydney at the PI Bistro for moral support. This research was supported in part by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Economic Development, Job Creation and Trade.
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