output
19972026
most citedRelation Between the Widom line and the Strong-Fragile Dynamic Crossover in Systems with a Liquid-Liquid Phase Transition

828 citations

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31 papers · 1 filter

gr-qc2026★ 2 cited

The general set of Noetherian energy-momentum tensors in linearized gravity: mathematical framework

Lydia Beth Taylor, Mark Robert Baker

Energy-momentum tensors are foundational objects which are uniquely defined in standard physical field theories such as electrodynamics and Yang-Mills theory. In general relativity…

gr-qc2025★ 1 cited

On black holes in new general relativity

D. F. López, A. A. Coley, R. J. van den Hoogen

New General Relativity (NGR) is a class of teleparallel theories defined by three free parameters, effectively reduced to two after appropriate normalization, which are subject to…

gr-qc2024★ 6 cited

Teleparallel Geometry with Spherical Symmetry: The diagonal and proper frames

Robert J. van den Hoogen, Hudson X. Forance

We present the proper co-frame and its corresponding (diagonal) co-frame/spin connection pair for spherically symmetric geometries which can be used as an initial ansatz in any the…

gr-qc2024★ 19 cited

Spherically symmetric teleparallel geometries

A. A. Coley, A. Landry, R. J. van den Hoogen +1

We are interested in the development of spherically symmetric geometries in teleparallel gravity which are of physical importance. We first express the general forms for the…

gr-qc2024★ 5 cited

Locally-homogeneous Riemann-Cartan geometries with the largest symmetry group

D. D. McNutt, R. J. van den Hoogen, A. A. Coley

The symmetry frame formalism is an effective tool for computing the symmetries of a Riemann-Cartan geometry and, in particular, in metric teleparallel geometries. In the case of no…

gr-qc2024★ 3 cited

Symmetries in Riemann-Cartan Geometries

David D. McNutt, Alan A. Coley, Robert J. van den Hoogen

Riemann-Cartan geometries are geometries that admit non-zero curvature and torsion tensors. These geometries have been investigated as geometric frameworks for potential theories i…

gr-qc2023★ 10 cited

Bianchi Type Cosmological Models in Tele-parallel Gravity

R. J. van den Hoogen, A. A. Coley, D. D. McNutt

Symmetry assumptions on the geometrical framework have provided successful mechanisms to develop physically meaningful solutions to many problems. In tele-parallel gravity, invaria…

gr-qc2023★ 18 cited

Generalized Teleparallel de Sitter geometries

Alan A. Coley, Alexandre Landry, Robert J. van den Hoogen +1

Theories of gravity based on teleparallel geometries are characterized by the torsion, which is a function of the coframe, derivatives of the coframe, and a zero curvature and metr…

gr-qc2023★ 8 cited

Spatially Homogeneous Teleparallel Gravity: Bianchi I

A. A. Coley, R. J. van den Hoogen

Using a recently developed algorithm that chooses preferred coordinates and a preferred co-frame, we will determine the completely general Bianchi type I teleparallel geometry. In…

gr-qc2023★ 5 cited

Teleparallel Minkowski Spacetime with Perturbative Approach for Teleparallel Gravity on a Proper Frame

Alexandre Landry, Robert J. van den Hoogen

A complete perturbation theory suitable for teleparallel gravity is developed. The proposed perturbation scheme takes into account perturbations of the coframe, the metric, and the…

gr-qc2023★ 26 cited

A frame based approach to computing symmetries with non-trivial isotropy groups

D. D. McNutt, A. A. Coley, R. J. van den Hoogen

A frame approach to determining the most general solution admitting a desired symmetry group has been examined previously in Riemannian and teleparallel geometries with some succes…

gr-qc2022★ 7 cited

Teleparallel Geometry with a Single Affine Symmetry

Alan Coley, Robert van den Hoogen

In teleparallel geometries, symmetries are represented by affine frame symmetries which constrain both the (co)frame basis and the spin-connection (which are the primary geometric…

gr-qc2022★ 26 cited

Symmetric Teleparallel Geometries

A. A. Coley, R. J. van den Hoogen, D. D. McNutt

In teleparallel gravity and, in particular, in teleparallel gravity, there is a challenge in determining an appropriate (co-)frame and its corresponding spin connection to d…

gr-qc2021★ 4 cited

Teleparallel geometries not characterized by their scalar polynomial torsion invariants

D. D. McNutt, A. A. Coley, R. J. van den Hoogen

A teleparallel geometry is an n-dimensional manifold equipped with a frame basis and an independent spin connection. For such a geometry, the curvature tensor vanishes and the tors…

gr-qc2020★ 8 cited

Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models: The Sequel

S. Mohandas, R. J. van den Hoogen, D. Winters +1

Utilizing the autonomous system of ordinary differential equations derived in arXiv:1809.01458 to define the evolution, we further investigate a class of cosmological models within…

gr-qc2019★ 40 cited

Symmetry and Equivalence in Teleparallel Gravity

A. A. Coley, R. J. van den Hoogen, D. D. McNutt

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 a…

gr-qc2018★ 346 cited

Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach

M. Krssak, R. J. van den Hoogen, J. G. Pereira +2

Teleparallel gravity and its popular generalization gravity can be formulated as fully invariant (under both coordinate transformations and local Lorentz transformations) th…

gr-qc2018★ 33 cited

Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models

R. J. van den Hoogen, A. A. Coley, B. Alhulaimi +3

A class of positive curvature spatially homogeneous but anisotropic cosmological models within an Einstein-aether gravitational framework are investigated. The matter source is ass…

gr-qc2017★ 31 cited

Spatially Homogeneous Einstein-Aether Cosmological Models: Scalar Fields with a Generalized Harmonic Potential

B. Alhulaimi, R. J. van den Hoogen, A. A. Coley

Inflationary spatially homogeneous cosmological models within an Einstein-Aether gravitational framework are investigated. The matter source is assumed to be a scalar field which i…

gr-qc2010★ 28 cited

Averaging geometrical objects on a differentiable manifold

Johan Brannlund, Robert van den Hoogen, Alan Coley

We construct a framework within which a mathematically precise, fully covariant, and exact averaging procedure for tensor fields on a manifold can be formulated. In particular, we…

gr-qc2009★ 31 cited

A Complete Cosmological Solution to the Averaged Einstein Field Equations as found in Macroscopic Gravity

R. J. van den Hoogen

A formalism for analyzing the complete set of field equations describing Macroscopic Gravity is presented. Using this formalism, a cosmological solution to the Macroscopic Gravity…

gr-qc2007★ 16 cited

Spherically Symmetric Solutions in Macroscopic Gravity

R. J. van den Hoogen

Schwarzschild's solution to the Einstein Field Equations was one of the first and most important solutions that lead to the understanding and important experimental tests of Einste…

gr-qc2007★ 13 cited

Fermi-Frenet coordinates for space-like curves

Michael S. Underwood, Karl-Peter Marzlin

We generalize Fermi coordinates, which correspond to an adapted set of coordinates describing the vicinity of an observer's worldline, to the worldsheet of an arbitrary spatial cur…

gr-qc2007★ 19 cited

Late-time behaviour of the tilted Bianchi type VIh models

S Hervik, R J van den Hoogen, W C Lim +1

We study tilted perfect fluid cosmological models with a constant equation of state parameter in spatially homogeneous models of Bianchi type VI_h using dynamical systems methods a…