caa a22 4500 445320508 CHVBK 20180317142702.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s00023-011-0090-7 doi (NATIONALLICENCE)springer-10.1007/s00023-011-0090-7 Grant James Institut für Grundlagen der Bauingenieurwissenschaften, Leopold-Franzens-Universität Innsbruck, Technikerstrasse 13, 6020, Innsbruck, Austria aut Areas and Volumes for Null Cones [Elektronische Daten] [James Grant] Motivated by recent work of Choquet-Bruhat etal. (Class Quantum Gravity 26(135011), 22, 2009), we prove monotonicity properties and comparison results for the area of slices of the null cone of a point in a Lorentzian manifold. We also prove volume comparison results for subsets of the null cone analogous to the Bishop-Gromov relative volume monotonicity theorem and Günther's volume comparison theorem. We briefly discuss how these estimates may be used to control the null second fundamental form of slices of the null cone in Ricci-flat Lorentzian four-manifolds with null curvature bounded above. Springer Basel AG, 2011 Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/5(2011-07-01), 965-985 1424-0637 12:5<965 2011 12 23 https://doi.org/10.1007/s00023-011-0090-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00023-011-0090-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Grant James Institut für Grundlagen der Bauingenieurwissenschaften, Leopold-Franzens-Universität Innsbruck, Technikerstrasse 13, 6020, Innsbruck, Austria aut NATIONALLICENCE 773 0- Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/5(2011-07-01), 965-985 1424-0637 12:5<965 2011 12 23 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer