• Comment on ''Szekeres universes with homogeneous scalar fields'' 

      Delgado Gaspar, Ismael; Sussman, Roberto A.; McNutt, David Duncan; Coley, Alan (Peer reviewed; Journal article, 2021-04)
      In two recently published articles, Barrow and Paliathanasis (2018, 2019) [1, 2] claim to have found exact solutions of Einstein’s field equations belonging to the class of non-trivial (i.e., spatially inhomogeneous) ...
    • Differential invariants of Kundt waves 

      Kruglikov, Boris; McNutt, David Duncan; Schneider, Eivind (Peer reviewed; Journal article, 2019-07)
      Kundt waves belong to the class of spacetimes which are not distinguished by their scalar curvature invariants. We address the equivalence problem for the metrics in this class via scalar differential invariants with respect ...
    • Geometric surfaces: An invariant characterization of spherically symmetric black hole horizons and wormhole throats 

      McNutt, David Duncan; Julius, William; Gorban, Matthew; Mattingly, Brandon; Brown, Patrick; Cleaver, Gerald (Peer reviewed; Journal article, 2021)
      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 throat is partially characterized by the ...
    • A Heterotic Kodaira--Spencer Theory at One-Loop 

      Ashmore, Anthony; Murgas Ibarra, Javier Jose; McNutt, David Duncan; Strickland-Constable, Charles; Svanes, Eirik Eik; Tennyson, David; Winje, Sander (Peer reviewed; Journal article, 2023-10)
      We consider a heterotic version of six-dimensional Kodaira-Spencer gravity derived from the heterotic superpotential. We compute the one-loop partition function and find it can be expressed as a product of holomorphic ...
    • Invariant characterization of Szekeres models with positive cosmological constant 

      McNutt, David Duncan; Coley, Alan; Layden, Nicolas (Peer reviewed; Journal article, 2022-07)
      We present an invariant characterization of black holes in the Szekeres spacetime with positive cosmological constant. In the formation of the black holes, we locate geometric horizons, and show that they coincide with the ...
    • An Invariant Characterization of the Levi-Civita Spacetimes 

      Watson, Cooper; Julius, William; Gorban, Matthew; McNutt, David Duncan; Davis, Eric; Cleaver, Gerald (Peer reviewed; Journal article, 2021-08)
      In the years 1917–1919 Tullio Levi-Civita published a number of papers presenting new solutions to Einstein’s equations. This work, while partially translated, remains largely inaccessible to English speaking researchers. ...
    • Symmetric teleparallel geometries 

      Coley, Alan; van den Hoogen, Robert; McNutt, David Duncan (Peer reviewed; Journal article, 2022)
      In teleparallel gravity and, in particular, in F(T) teleparallel gravity, there is a challenge in determining an appropriate (co-)frame and its corresponding spin connection to describe the geometry. Very often, the ‘proper’ ...
    • Symmetry and Equivalence in Teleparallel Gravity 

      Coley, Alan; van den Hoogen, Robert; McNutt, David Duncan (Peer reviewed; Journal article, 2020-07)
      In theories such as teleparallel gravity and its extensions, the frame basis replaces the metric tensor as the primary object of study. A choice of coordinate system, frame basis, and spin-connection must be made to obtain ...