Weakly trapped surfaces in asymptotically de Sitter spacetimes

Piotr T. Chruściel; Gregory J. Galloway; Eric Ling

doi:10.1088/1361-6382/aac30d

Weakly trapped surfaces in asymptotically de Sitter spacetimes

Piotr T. Chruściel, Gregory J. Galloway, Eric Ling

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

It is a standard fact that trapped or marginally trapped surfaces are not visible from conformal infinity, under the usual set of conditions on matter fields and the conformal completion, provided that the cosmological constant is non-positive. In this note we show that the situation is more delicate in the presence of a positive cosmological constant: we present examples of visible marginally trapped surfaces, and we provide a set of natural conditions which guarantee non-visibility.

Original language	English (US)
Article number	135001
Journal	Classical and Quantum Gravity
Volume	35
Issue number	13
DOIs	https://doi.org/10.1088/1361-6382/aac30d
State	Published - May 30 2018

Keywords

conformal
de Sitter
trapped surfaces

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1088/1361-6382/aac30d

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abstract = "It is a standard fact that trapped or marginally trapped surfaces are not visible from conformal infinity, under the usual set of conditions on matter fields and the conformal completion, provided that the cosmological constant is non-positive. In this note we show that the situation is more delicate in the presence of a positive cosmological constant: we present examples of visible marginally trapped surfaces, and we provide a set of natural conditions which guarantee non-visibility.",

keywords = "conformal, de Sitter, trapped surfaces",

author = "Chru{\'s}ciel, {Piotr T.} and Galloway, {Gregory J.} and Eric Ling",

note = "Funding Information: The research of PTC was supported by the Polish National Center of Science (NCN) under grant 2016/21/B/ST1/00940. The research of GJG was supported by the NSF under the grant DMS-171080.",

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T1 - Weakly trapped surfaces in asymptotically de Sitter spacetimes

AU - Chruściel, Piotr T.

AU - Galloway, Gregory J.

AU - Ling, Eric

N1 - Funding Information: The research of PTC was supported by the Polish National Center of Science (NCN) under grant 2016/21/B/ST1/00940. The research of GJG was supported by the NSF under the grant DMS-171080.

PY - 2018/5/30

Y1 - 2018/5/30

N2 - It is a standard fact that trapped or marginally trapped surfaces are not visible from conformal infinity, under the usual set of conditions on matter fields and the conformal completion, provided that the cosmological constant is non-positive. In this note we show that the situation is more delicate in the presence of a positive cosmological constant: we present examples of visible marginally trapped surfaces, and we provide a set of natural conditions which guarantee non-visibility.

AB - It is a standard fact that trapped or marginally trapped surfaces are not visible from conformal infinity, under the usual set of conditions on matter fields and the conformal completion, provided that the cosmological constant is non-positive. In this note we show that the situation is more delicate in the presence of a positive cosmological constant: we present examples of visible marginally trapped surfaces, and we provide a set of natural conditions which guarantee non-visibility.

KW - conformal

KW - de Sitter

KW - trapped surfaces

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U2 - 10.1088/1361-6382/aac30d

DO - 10.1088/1361-6382/aac30d

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VL - 35

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 13

M1 - 135001

ER -

Weakly trapped surfaces in asymptotically de Sitter spacetimes

Abstract

Keywords

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