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Decay of the Weyl curvature in expanding...

Schlue, Volker...

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Decay of the Weyl curvature in expanding black hole cosmologies by Schlue, Volker ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	10-08-2023
Summary	This paper is motivated by the non-linear stability problem for the expanding region of Kerr de Sitter cosmologies in the context of Einstein's equations with positive cosmological constant. We show that under dynamically realistic assumptions the conformal Weyl curvature of the spacetime decays towards future null infinity. More precisely we establish decay estimates for Weyl fields which are (i) uniform (with respect to a global time function) (ii) optimal (with respect to the rate) and (iii) consistent with a global existence proof (in terms of regularity). The proof relies on a geometric positivity property of compatible currents which is a manifestation of the global redshift effect capturing the expansion of the spacetime.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1610.04172

Citation

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AMA 11th EditionReferences

Schlue, Volker. Decay of the Weyl curvature in expanding black hole cosmologies. Australian National University. August 10, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/14134

APA 7th EditionReferences

Schlue, Volker. (2023). Decay of the Weyl curvature in expanding black hole cosmologies. Australian National University. https://online.provdatabase.com/cite/14134

Chicago 17th EditionReferences

Schlue, Volker. Decay of the Weyl curvature in expanding black hole cosmologies. Australian National University. 2023. https://online.provdatabase.com/cite/14134

HarvardReferences

Schlue, Volker. (2023). Decay of the Weyl curvature in expanding black hole cosmologies. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/14134. (Accessed 02 October 2025).

Harvard AustraliaReferences

Schlue, Volker, 2023, Decay of the Weyl curvature in expanding black hole cosmologies, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/14134>

MLA 9th EditionWorks Cited

Schlue, Volker. Decay of the Weyl curvature in expanding black hole cosmologies. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/14134.

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