NDLI: On cosmological mass with positive Λ

Content Provider	Springer Nature Link
Author	Penrose, Roger
Copyright Year	2011
Abstract	For asymptotically flat space-times, a very satisfactory expression for the total mass/energy of a system defined at future null infinity was provided by Bondi and Sachs, in the early 1960s. A generalization of this to space-times that are asymptotically de Sitter now has particular relevance in view of observational evidence, from 1998 onwards, indicating the presence of a positive cosmological constant Λ. In this article, some of the issues involved in such a definition are examined, showing that a somewhat different attitude to mass/energy must be taken, from that which was appropriate for asymptotically flat space-times. Two tentative suggestions are put forward for a retarded mass/energy definition with positive Λ, one based on a conformally invariant integral expression whose advanced time-derivative gives the Bondi–Sachs definition in the asymptotically flat case and the other, on the author’s 1982 approach to quasi-local energy. Such expressions could have some direct relevance to the proposal of Conformal Cyclic Cosmology, for which recent analysis of the CMB has provided some striking support.
Starting Page	3355
Ending Page	3366
Page Count	12
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	43
Issue Number	12
e-ISSN	15729532
Language	English
Publisher	Springer US
Publisher Date	2011-08-19
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cosmological constant Energy in cosmology Bondi–Sachs mass Conformal cyclic cosmology Cosmology Astronomy, Astrophysics and Cosmology Quantum Physics Differential Geometry Classical and Quantum Gravitation, Relativity Theory Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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