# Matthew WrightUniversity College London | UCL · Department of Mathematics

Matthew Wright

MMath Mathematics

## About

17

Publications

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615

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Introduction

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October 2013 - present

## Publications

Publications (17)

We consider a modification of General Relativity motivated by the treatment of anisotropies in Continuum Mechanics. The Newtonian limit of the theory is formulated and applied to galactic rotation curves. By assuming that the additional structure of spacetime behaves like a Newtonian gravitational potential for small deviations from isotropy, we ar...

We study an anisotropic inflationary scenario in teleparallel gravity. We consider a model where the inflaton is nonminimally coupled both to torsion and a vector field, which can lead to anisotropic inflation. In the weak-coupling limit, our results coincide with the results obtained in the general relativistic framework. However, in the strong-co...

DOI:http://dx.doi.org/10.1103/PhysRevD.93.109901

It is well known that one cannot apply a conformal transformation to f(T) gravity to obtain a minimally coupled scalar field model, and thus no Einstein frame exists for f(T) gravity. Furthermore nonminimally coupled “teleparallel dark energy models” are not conformally equivalent to f(T) gravity. However, it can be shown that f(T) gravity is confo...

We investigate the cosmological dynamics of the recently proposed extended chameleon models at both background and linear perturbation levels. Dynamical systems techniques are employed to fully characterize the evolution of the universe at the largest distances, while structure formation is analysed at sub-horizon scales within the quasi-static app...

We study the finite time singularity correspondence between the Jordan and Einstein frames for various $F(R)$ gravity theories. Particularly we investigate the ordinary pure $F(R)$ gravity case and the unimodular $F(R)$ gravity cases, in the absence of any matter fluids. In the ordinary $F(R)$ gravity cases, by using specific illustrative examples,...

A new Lagrangian framework has recently been proposed to describe
interactions between relativistic perfect fluids and scalar fields. In this
paper we investigate the Einstein static universe in this new class of
theories, which have been named Scalar-Fluid theories. The stability of the
static solutions to both homogeneous and inhomogeneous pertur...

We examine charged slowly rotating perfect fluids in the presence of a
cosmological constant. The asymptotic form of the vacuum solutions to the
linearised Einstein-Maxwell field equations is found and the possibility of
matching this vacuum to the slow rotating Garc\'ia metric is considered. We
show that, contrary to the case of zero cosmological...

We propose a new model in the teleparallel framework where we consider a
scalar field non-minimally coupled to both the torsion $T$ and a boundary term
given by the divergence of the torsion vector $B=\frac{2}{e}\partial_\mu
(eT^\mu)$. This is inspired by the relation $R=-T+B$ between the Ricci scalar
of general relativity and the torsion of telepa...

We investigate modified theories of gravity in the context of teleparallel
geometries. It is well known that modified gravity models based on the torsion
scalar are not invariant under local Lorentz transformations while
modifications based on the Ricci scalar are. This motivates the study of a
model depending on the torsion scalar and the divergen...

The Buchdahl limit for static spherically symmetric isotropic stars is
generalised to the case of five dimensional Gauss-Bonnet gravity. Our result
depends on the sign of the Gauss-Bonnet coupling constant $\alpha$. When
$\alpha>0$, we find, unlike in general relativity, that the bound is dependent
on the stellar structure, in particular the centra...

Spherically symmetric anisotropic static compact solutions to the Einstein equations in dimension &$d\geqslant 4$; are considered. Various matter models are examined and upper bounds on the ratio of the gravitational mass to the radius in these different models are obtained, and saturation of these bounds are proven. Bounds are also generalized in...

We consider an original variational approach for building new models of
quintessence interacting with dark or baryonic matter. The coupling is
introduced at the Lagrangian level using a variational formulation for
relativistic fluids, where the interacting term generally depends on both the
dynamical degrees of freedom of the theory and their space...

We present a new approach to build models of quintessence interacting with
dark or baryonic matter. We use a variational approach for relativistic fluids
to realize an effective description of matter fields at the Lagrangian level.
The coupling is introduced directly in the action by considering a single
function mixing the dynamical degrees of fre...

Hartle's slow rotation formalism is developed in the presence of a
cosmological constant. We find the generalisation of the Hartle-Thorne vacuum
metric, the Hartle-Thorne-(anti)-de Sitter metric, and find that it is always
asymptotically (anti)-de Sitter. Next we consider Wahlquist's rotating perfect
fluid interior solution in Hartle's formalism an...

We consider a modification of General Relativity motivated by the treatment
of anisotropies in Continuum Mechanics. The Newtonian limit of the theory is
formulated and applied to galactic rotation curves. By assuming that the
additional structure of spacetime behaves like a Newtonian gravitational
potential for small deviations from isotropy, we ar...