124 citations · 705 across the 26 of their papers we have counts for
26 papers
Horizon Singularities in the Schwarzschild Geometry of the Teleparallel Equivalent of General Relativity
D. F. López, A. A. Coley, R. J. van den Hoogen
Certain torsion scalar invariants are known to diverge at the horizon of the Schwarzschild solution in the Teleparallel Equivalent of General Relativity (TEGR), obstructing its int…
Using Gauge Covariant Lie Derivatives in Poincaré Gauge and Metric Teleparallel Theories of Gravity
R. J. van den Hoogen, H. Forance, L. Taylor +1
A procedure to determine the initial ansatz for the co-frame and spin connection characterizing a Riemann-Cartan geometry respecting a given group of continuous symmetries is illus…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
Observational Cosmology in Macroscopic Gravity
Timothy Clifton, Alan Coley, Robert van den Hoogen
We discuss the construction of cosmological models within the framework of Macroscopic Gravity (MG), which is a theory that models the effects of averaging the geometry of space-ti…
Averaging Spacetime: Where do we go from here?
R. J. van den Hoogen
The construction of an averaged theory of gravity based on Einstein's General Relativity is very difficult due to the non-linear nature of the gravitational field equations. This p…
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…
Inhomogeneous M-Theory Cosmologies
Alan A. Coley, R. J. van den Hoogen
We study a class of inhomogeneous and anisotropic string cosmological models. In the case of separable models we show that the governing equations reduce to a system of…
The Dynamics of Multi-Scalar Field Cosmological Models and Assisted Inflation
A. A. Coley, R. J. van den Hoogen
We investigate the dynamical properties of a class of spatially homogeneous and isotropic cosmological models containing a barotropic perfect fluid and multiple scalar fields with…
Scalar Field Cosmologies with Barotropic Matter: Models of Bianchi class B
A. P. Billyard, A. A. Coley, R. J. van den Hoogen +2
We investigate in detail the qualitative behaviour of the class of Bianchi type B spatially homogeneous cosmological models in which the matter content is composed of two non-inter…
Scaling Solutions in Robertson-Walker Spacetimes
Robert J. van den Hoogen, Alan A. Coley, David Wands
We investigate the stability of cosmological scaling solutions describing a barotropic fluid with and a non-interacting scalar field with an exponential potential $V…
The stability of cosmological scaling solutions
A. P. Billyard, A. A. Coley, R. J. van den Hoogen
We study the stability of cosmological scaling solutions within the class of spatially homogeneous cosmological models with a perfect fluid subject to the equation of state p_gamma…
Qualitative Viscous Cosmology
A. A. Coley, R. J. van den Hoogen, R. Maartens
The Full (non--truncated) Israel--Stewart theory of bulk viscosity is applied to dissipative FRW spacetimes. Dimensionless variables and dimensionless equations of state are used t…