An invariant theory of marginally trapped surfaces in the four-dimensional Minkowski space

DOI10.1063/1.3693976zbMath1274.83073arXiv1105.3370OpenAlexW2033200885MaRDI QIDQ2861754

Velichka Milousheva, Georgi Ganchev

Publication date: 11 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3370

Mathematics Subject Classification ID

Black holes (83C57) Space-time singularities, cosmic censorship, etc. (83C75) Special relativity (83A05)

Related Items (5)

Meridian surfaces with constant mean curvature in pseudo-Euclidean 4-space with neutral metric ⋮ Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space ⋮ Conformal geometry of marginally trapped surfaces in \(\mathbb {S}^4_1\) ⋮ Unnamed Item ⋮ MARGINALLY TRAPPED MERIDIAN SURFACES OF PARABOLIC TYPE IN THE FOUR-DIMENSIONAL MINKOWSKI SPACE

Cites Work

• Invariants and Bonnet-type theorem for surfaces in \(\mathbb R^{4}\)
• Screw invariant marginally trapped surfaces in Minkowski 4-space
• Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group
• Characterization and examples of Chen submanifolds
• On singularities of submanifolds of higher dimensional Euclidean spaces
• Marginally trapped surfaces in Lorentzian space forms with positive relative nullity
• Spatial and Lorentzian surfaces in Robertson-Walker space times
• Gravitational Collapse and Space-Time Singularities
• Boost invariant marginally trapped surfaces in Minkowski 4-space
• Über zweidimensionale parabolische Flächen im vierdimensional affinen Raum. I.

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