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dc.contributor.authorCameron, Peter
dc.date.accessioned2022-05-16T16:00:53Z
dc.date.available2022-05-16T16:00:53Z
dc.date.issued2022-06-06
dc.date.submitted2021-07-12
dc.identifier.issn0264-9381
dc.identifier.othercqgac66b7
dc.identifier.otherac66b7
dc.identifier.othercqg-108479.r4
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/337195
dc.description.abstract<jats:title>Abstract</jats:title> <jats:p>A spacetime satisfies the non-timelike boundary version of the Penrose property if the timelike future of any point on <jats:inline-formula> <jats:tex-math><?CDATA ${\mathcal{I}}^{-}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:msup> <mml:mrow> <mml:mi mathvariant="script">I</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> </mml:mrow> </mml:msup> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cqgac66b7ieqn1.gif" xlink:type="simple" /> </jats:inline-formula> contains the whole of <jats:inline-formula> <jats:tex-math><?CDATA ${\mathcal{I}}^{+}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:msup> <mml:mrow> <mml:mi mathvariant="script">I</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> </mml:mrow> </mml:msup> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cqgac66b7ieqn2.gif" xlink:type="simple" /> </jats:inline-formula>. This property was first discussed for asymptotically flat spacetimes by Penrose, along with an equivalent definition (the finite version). In this paper we consider the Penrose property in greater generality. In particular we consider spacetimes with a non-zero cosmological constant and we note that the two versions of the property are no longer equivalent. In asymptotically AdS spacetimes it is necessary to re-state the property in a way which is more suited to spacetimes with a timelike boundary. We arrive at a property previously considered by Gao and Wald. Curiously, this property was shown to fail in spacetimes which focus null geodesics. This is in contrast to our findings in asymptotically flat and asymptotically de Sitter spacetimes. We then move on to consider some further example spacetimes (with zero cosmological constant) which highlight features of the Penrose property not previously considered. We discuss spacetimes which are the product of a Lorentzian and a compact Riemannian manifold. Perhaps surprisingly, we find that both versions of the Penrose property are satisfied in this product spacetime if and only if they are satisfied in the Lorentzian spacetime only. We also discuss the Ellis–Bronnikov wormhole (an example of a spacetime with more than one asymptotically flat end) and the Hayward metric (an example of a non-singular black hole spacetime).</jats:p>
dc.languageen
dc.publisherIOP Publishing
dc.subjectPaper
dc.subjectgeneral relativity
dc.subjectcausality
dc.subjectconformal
dc.subjectcosmological constant
dc.subjectPenrose
dc.subjectspacetime
dc.subjectwormhole
dc.titleThe Penrose property with a cosmological constant
dc.typeArticle
dc.date.updated2022-05-16T16:00:53Z
prism.issueIdentifier11
prism.publicationNameClassical and Quantum Gravity
prism.volume39
dc.identifier.doi10.17863/CAM.84613
dcterms.dateAccepted2022-04-12
rioxxterms.versionofrecord10.1088/1361-6382/ac66b7
rioxxterms.versionVoR
rioxxterms.licenseref.urihttps://creativecommons.org/licenses/by/4.0/
dc.contributor.orcidCameron, Peter [0000-0002-5379-0179]
dc.identifier.eissn1361-6382
pubs.funder-project-idSt John’s College, University of Cambridge (Todd/Goddard Fund)
pubs.funder-project-idScience and Technology Facilities Council (ST/P000681/1, ST/T000694/1)
cam.issuedOnline2022-05-12


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