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

No

Classical Quantum Gravity

Article

Científica

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

01/12/1996

A1996WE04700011

2-s2.0-0007395699

10.1088/0264-9381/13/12/011

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.

• FRANCISCO JOSÉ MARTÍNEZ ESTUDILLO