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