27 citations · 35 across the 20 of their papers we have counts for
21 papers
Potential Carroll Structures and Special Carrollian Manifolds
Samuel Blitz, Gabriel Herczeg, David McNutt
It is well-known that unlike space-like and time-like hypersurfaces, null hypersurfaces in Lorentzian manifolds do not naturally inherit an affine connection from the spacetime in…
Einstein and Yang-Mills implies conformal Yang-Mills
Samuel Blitz, A. Rod Gover, Jarosław Kopiński +1
There exist conformally invariant, higher-derivative, variational analogs of the Yang-Mills condition for connections on vector bundles over a conformal manifold of even dimension…
Conformal hypersurface invariants and Bach-type Boundary Problems
Samuel Blitz, A. Rod Gover
Using variational considerations, we establish that there exists a new symmetric trace-free tensor conformal invariant of hypersurfaces embeddings in even dimensional conformal man…
Non-existence of higher-order conformal fundamental forms in odd dimensions
Samuel Blitz
Conformal fundamental forms populate a minimal generating set for low differential order invariants of conformal hypersurface embeddings. In this work we complete the characterizat…
A Breathing Universe is Consistent
Samuel Blitz
We consider a toy FRW universe with the exotic topology . We show that for a specific choice of quantum field content, the semi-classical Friedman equations are con…
Asymptotia of Kerr-de Sitter Black Holes
Samuel Blitz, Jarosław Kopiński
Exterior geometries of physical black holes are believed to asymptotically approach the Kerr--de Sitter spacetime at late times. A characteristic feature of that vacuum Einstein so…
A long freeze is hard to achieve in the presence of matter
Samuel Blitz, Robert J. Scherrer, Oem Trivedi
Certain holographic dark energy (HDE) models allow for the possibility of a ``long freeze,'' in which the scale factor evolves to a constant in the long-time limit. Here we extend…
Higher Fundamental Forms and Warped Product Hypersurfaces
Samuel Blitz, Josef Silhan
Warped products are one of the simplest families of Riemannian manifolds that can have non-trivial geometries. In this article, we characterize the geometry of hypersurface embeddi…
Unique Carrollian manifolds emerging from Einstein spacetimes
S. Blitz, D. McNutt, P. Nurowski
We explicitly determine all shear-free null hypersurfaces embedded in an Einstein spacetime, including vacuum asymptotically flat spacetimes. We characterize these hypersurfaces as…
The long freeze: an asymptotically static universe from holographic dark energy
Samuel Blitz, Robert J. Scherrer, Oem Trivedi
We show that some holographic dark energy models can lead to a future evolution of the universe in which the scale factor is asymptotically constant, while $\dot a \rightarrow…
Curvature fluctuations in a baby quantum gravity model
Samuel Blitz, Shahn Majid
Understanding the microscopic behavior of spacetime is critical for developing a theory of quantum gravity and perhaps solving the cosmological constant problem. In this context, i…
Holography of Higher Codimension Submanifolds: Riemannian and Conformal
Samuel Blitz, Josef Šilhan
We provide a natural generalization to submanifolds of the holographic method used to extract higher-order local invariants of both Riemannian and conformal embeddings, some of whi…
Horizons that Gyre and Gimble: A Differential Characterization of Null Hypersurfaces
Samuel Blitz, David McNutt
Motivated by the thermodynamics of black hole solutions conformal to stationary solutions, we study the geometric invariant theory of null hypersurfaces. It is well-known that a nu…
The Dirichlet-to-Neumann Map for Poincaré-Einstein Fillings
Samuel Blitz, A. Rod Gover, Jarosław Kopiński +1
We study the non-linear Dirichlet-to-Neumann map for the Poincaré-Einstein filling problem. For even dimensional manifolds the range of this non-local map is described in terms of…
Toward a Classification of Conformal Hypersurface Invariants
Samuel Blitz
Hypersurfaces embedded in conformal manifolds appear frequently as boundary data in boundary-value problems in cosmology and string theory. Viewed as the non-null conformal infinit…
A Sharp Characterization of the Willmore Invariant
Samuel Blitz
First introduced to describe surfaces embedded in , the Willmore invariant is a conformally-invariant extrinsic scalar curvature of a surface that vanishes when the s…
Generalized Willmore Energies, Q-Curvatures, Extrinsic Paneitz Operators, and Extrinsic Laplacian Powers
Samuel Blitz, A. Rod Gover, Andrew Waldron
Over forty years ago, Paneitz, and independently Fradkin and Tseytlin, discovered a fourth-order conformally-invariant differential operator, intrinsically defined on a conformal m…
Conformal Fundamental Forms and the Asymptotically Poincaré--Einstein Condition
Samuel Blitz, A. Rod Gover, Andrew Waldron
An important problem is to determine under which circumstances a metric on a conformally compact manifold is conformal to a Poincaré--Einstein metric. Such conformal rescalings are…
Holographic Entropy Cone Measures
Ning Bao, Samuel Blitz, Bogdan Stoica
We investigate numerically several proxy measures for the number of states contained within the holographic entropy cone, compared to the number contained within the quantum entrop…
Tetraquark Cusp Effects from Diquark Pair Production
Samuel H. Blitz, Richard F. Lebed
We present the first study of the cusp effect (the movement of resonant poles due to the proximity of multiparticle thresholds) caused by the creation of diquark-antidiquark pairs.…
Fringe Field Effects on Bending Magnets, Derived for TRANSPORT/TURTLE
Sam Blitz, Riley Molloy
A realistic magnetic dipole has complex effects on a charged particle near the entrance and exit of the magnet, even with a constant and uniform magnetic field deep within the inte…