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On the Gaussian curvature of maximal surfaces in n-dimensional generalized Robertson-Walker spacetimes

Authors

Alias, LJ , MARTÍNEZ ESTUDILLO, FRANCISCO JOSÉ, Romero, A

External publication

No

Means

Classical Quantum Gravity

Scope

Article

Nature

Científica

JCR Quartile

✓

SJR Quartile

✗

Web

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0007395699&doi=10.1088%2f0264-9381%2f13%2f12%2f011&partnerID=40&md5=10d8145156a5f85855e5ec5a38faa6e0

Publication date

01/12/1996

ISI

A1996WE04700011

Scopus Id

2-s2.0-0007395699

DOI

10.1088/0264-9381/13/12/011

Abstract

We study compact maximal surfaces in the family of generalized Robertson-Walker spacetimes. We prove an integral inequality for their Gaussian curvature K, with equality characterizing the totally geodesic case. This gives an integral alternative to the irregular behaviour of K, which is due to the fact that the normal fibre bundle is Lorentzian and that our ambient spacetimes are not necessarily spatially homogeneous. We also give some consequences and applications for certain relevant cases of these spacetimes.

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