{"id":{"repo_id":"tuebingen","oai_identifier":"oai:publikationen.uni-tuebingen.de:10900/93629"},"canonical_url":"https://search.dev.ndltd.org/etd/tuebingen/oai:publikationen.uni-tuebingen.de:10900/93629","repository":{"repo_id":"tuebingen","name":"Universität Tübingen","base_url":"https://publikationen.uni-tuebingen.de/oai/request"},"display":{"title":"Trapping of light in stationary spacetimes","abstract":"We study phenomena related to trapping of light in stationary spacetimes. We first prove a uniqueness result for ‘quasilocal photon spheres‘ and static horizons in asymptotically flat so-called pseudo-electrostatic systems. Our result implies that an asymptotically Reissner--Nordström electrostatic system of arbitrary dimension which contains a ‘subextremal‘ photon sphere is a Reissner--Nordström manifold. The methods used in the proof of this theorem go back to the classical black hole uniqueness proofs of Bunting and Masood-ul-Alam and Ruback, whose techniques we combine with newer ideas developed by Cederbaum--Galloway and Cederbaum. In the second part, we leave the static setting and investigate trapped light in the Kerr spacetime. We give a new and (compared an earlier result by Dyatlov) more direct proof that the photon region in the Kerr spacetime can be naturally understood as a submanifold of the phase space and has topology SO(3)xR.","abstract_html":"We study phenomena related to trapping of light in stationary spacetimes. We first prove a uniqueness result for ‘quasilocal photon spheres‘ and static horizons in asymptotically flat so-called pseudo-electrostatic systems. Our result implies that an asymptotically Reissner--Nordström electrostatic system of arbitrary dimension which contains a ‘subextremal‘ photon sphere is a Reissner--Nordström manifold. The methods used in the proof of this theorem go back to the classical black hole uniqueness proofs of Bunting and Masood-ul-Alam and Ruback, whose techniques we combine with newer ideas developed by Cederbaum--Galloway and Cederbaum. In the second part, we leave the static setting and investigate trapped light in the Kerr spacetime. We give a new and (compared an earlier result by Dyatlov) more direct proof that the photon region in the Kerr spacetime can be naturally understood as a submanifold of the phase space and has topology SO(3)xR.","abstract_has_math":false,"creators":["Jahns, Sophia"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-10-11","date_published":"2019-10-11","updated_at":"2026-08-21T22:21:56Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10900/93629"],"render_values":[{"text":"hdl:10900/93629","href":null,"code":true}]}]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"source_record":{"url":"https://publikationen.uni-tuebingen.de/oai/request?verb=GetRecord&metadataPrefix=mets&identifier=oai%3Apublikationen.uni-tuebingen.de%3A10900%2F93629","prefix":"mets"},"metadata_groups":[{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2019-10-11"]},{"key":"dc:type","label":"Dc Type","values":["PhDThesis"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10900/93629"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.other","label":"Dc Description Other","values":["We study phenomena related to trapping of light in stationary spacetimes. We first prove a uniqueness result for ‘quasilocal photon spheres‘ and static horizons in asymptotically flat so-called pseudo-electrostatic systems. Our result implies that an asymptotically Reissner--Nordström electrostatic system of arbitrary dimension which contains a ‘subextremal‘ photon sphere is a Reissner--Nordström manifold. The methods used in the proof of this theorem go back to the classical black hole uniqueness proofs of Bunting and Masood-ul-Alam and Ruback, whose techniques we combine with newer ideas developed by Cederbaum--Galloway and Cederbaum. In the second part, we leave the static setting and investigate trapped light in the Kerr spacetime. We give a new and (compared an earlier result by Dyatlov) more direct proof that the photon region in the Kerr spacetime can be naturally understood as a submanifold of the phase space and has topology SO(3)xR."]},{"key":"dc:title","label":"Title","values":["Trapping of light in stationary spacetimes"]}]}],"canonical_facts":{"dc:date.issued":["2019-10-11"],"dc:description.other":["We study phenomena related to trapping of light in stationary spacetimes. We first prove a uniqueness result for ‘quasilocal photon spheres‘ and static horizons in asymptotically flat so-called pseudo-electrostatic systems. Our result implies that an asymptotically Reissner--Nordström electrostatic system of arbitrary dimension which contains a ‘subextremal‘ photon sphere is a Reissner--Nordström manifold. The methods used in the proof of this theorem go back to the classical black hole uniqueness proofs of Bunting and Masood-ul-Alam and Ruback, whose techniques we combine with newer ideas developed by Cederbaum--Galloway and Cederbaum. In the second part, we leave the static setting and investigate trapped light in the Kerr spacetime. We give a new and (compared an earlier result by Dyatlov) more direct proof that the photon region in the Kerr spacetime can be naturally understood as a submanifold of the phase space and has topology SO(3)xR."],"dc:identifier":["hdl:10900/93629"],"dc:title":["Trapping of light in stationary spacetimes"],"dc:type":["PhDThesis"]},"updated_at":"2026-08-21T22:21:56Z"}