Spacelike Graphs of Finite Total Curvature in Certain 3-Dimensional Generalized Robertson–Walker Spacetime

Several characterizations for the entire solutions of a nonlinear inequality on a complete surface with total finite curvature, arising in the study of spacelike surfaces in generalized Robertson–Walker spacetimes, are given. In the parametric case, some uniqueness results are obtained as an applica...

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Bibliographic Details
Published in:Reports on mathematical physics 2014-04, Vol.73 (2), p.241-254
Main Authors: Romero, Alfonso, Rubio, Rafael M., Salamanca, Juan J.
Format: Article
Language:English
Subjects:
Calabi-Bernstein problem
generalized Robertson–Walker spacetime
mean curvature function
Primary 53C42, Secondary 53C50, 35J60
spacelike surface
surface of finite total curvature
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Summary:Several characterizations for the entire solutions of a nonlinear inequality on a complete surface with total finite curvature, arising in the study of spacelike surfaces in generalized Robertson–Walker spacetimes, are given. In the parametric case, some uniqueness results are obtained as an application.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(14)60043-4