17 citations · 54 across the 6 of their papers we have counts for
6 papers
Killing Invariants: An approach to the sub-classification of geometries with symmetry
C. Brown, M. Gorban, W. Julius +3
In principle, the local classification of spacetimes is always possible using the Cartan-Karlhede algorithm. However, in practice, the process of determining equivalence of two spa…
Scalar Curvature Invariants in Classical and Quantum Gravity
B. Shakerin, D. D. McNutt, B. Mattingly +8
A short review of scalar curvature invariants in gravity theories is presented. We introduce how these invariants are constructed and discuss the minimal number of invariants requi…
Geometric surfaces: An invariant characterization of spherically symmetric black hole horizons and wormhole throats
D. D. McNutt, W. Julius, M. Gorban +3
We consider a spherically symmetric line element which admits either a black hole geometry or a wormhole geometry and show that in both cases the apparent horizon or the wormhole t…
Curvature Invariants for the Alcubierre and Natário Warp Drives
Brandon Mattingly, Abinash Kar, Matthew Gorban +9
A process for using curvature invariants is applied to evaluate the metrics for the Alcubierre and the Natario warp drives at a constant velocity.Curvature invariants are independe…
Curvature Invariants for the Accelerating Natario Warp Drive
B. Mattingly, A. Kar, M. Gorban +9
A process for using curvature invariants is applied to evaluate the accelerating Natario warp drive. Curvature invariants are independent of coordinate bases and plotting the invar…
Curvature Invariants for Lorentzian Traversable Wormholes
B. Mattingly, A. Kar, W. Julius +8
A process for using curvature invariants is applied as a new means to evaluate the traversability of Lorentzian wormholes and to display the wormhole spacetime manifold. This appro…