Manuel Hohmann
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View article: Dynamical systems approach and cosmological attractors in newer general relativity
Dynamical systems approach and cosmological attractors in newer general relativity Open
We study the cosmological dynamics of a class of symmetric teleparallel gravity theories known as “newer general relativity” using the methods of dynamical systems, restricted to the case of vacuum solutions with a spatially flat Friedmann…
View article: Dynamical systems approach and cosmological attractors in newer general relativity
Dynamical systems approach and cosmological attractors in newer general relativity Open
We study the cosmological dynamics of a class of symmetric teleparallel gravity theories known as ``newer general relativity'' using the methods of dynamical systems, restricted to the case of vacuum solutions with a spatially flat Friedma…
View article: Symmetric Teleparallel Connection and Spherical Solutions in Newer GR
Symmetric Teleparallel Connection and Spherical Solutions in Newer GR Open
In this article, we focus on symmetric teleparallel gravity, a modification of General Relativity where gravity is described by the non-metricity of an affine connection, whose curvature and torsion vanish. In these theories, the fundament…
View article: Gauge-invariant cosmological perturbations in general teleparallel gravity
Gauge-invariant cosmological perturbations in general teleparallel gravity Open
We study linear cosmological perturbations in the most general teleparallel gravity setting, where gravity is mediated by the torsion and nonmetricity of a flat connection alongside the metric. For a general linear perturbation of this geo…
View article: Weak equivalence principle and nonrelativistic limit of general dispersion relations
Weak equivalence principle and nonrelativistic limit of general dispersion relations Open
We study the weak equivalence principle in the context of modified dispersion relations, a prevalent approach to quantum gravity phenomenology. We find that generic modified dispersion relations violate the weak equivalence principle. The …
View article: Cosmological teleparallel perturbations
Cosmological teleparallel perturbations Open
There has been growing interest in f (ℚ) gravity, which has led to significant advancements in the field. However, it is important to note that most studies in this area were based on the coincident gauge, thus overlooking the impact of th…
View article: Field transformations and invariant quantities in scalar-teleparallel theories of gravity
Field transformations and invariant quantities in scalar-teleparallel theories of gravity Open
We study transformations of the dynamical fields - a metric, a flat affine connection and a scalar field - in scalar-teleparallel gravity theories. The theories we study belong either to the general teleparallel setting, where no further c…
View article: Post-Newtonian limit of generalized scalar-teleparallel theories of gravity
Post-Newtonian limit of generalized scalar-teleparallel theories of gravity Open
We propose a general class of scalar-teleparallel theories, which are based on a scalar field which is coupled to a flat connection with torsion and nonmetricity, and study its post-Newtonian limit using the parametrized post-Newtonian for…
View article: Teleparallel bigravity
Teleparallel bigravity Open
We write down the teleparallel equivalent to Hassan–Rosen bigravity, which is written using a torsionful but curvature-free connection. The theories only differ by a boundary term. The equivalence was proven, both by using perturbation the…
View article: Bootstrapping gravity and its extension to metric-affine theories
Bootstrapping gravity and its extension to metric-affine theories Open
In this work we study diffeomorphism-invariant metric-affine theories of gravity from the point of view of self-interacting field theories on top of Minkowski spacetime (or other background). We revise how standard metric theories couple t…
View article: Spherically symmetric vacuum solutions in 1-Parameter New General Relativity and their phenomenology
Spherically symmetric vacuum solutions in 1-Parameter New General Relativity and their phenomenology Open
In this work, we study spherically symmetric vacuum solutions in 1-parameter New General Relativity (NGR), a specific theory in teleparallel gravity which is constructed from the three possible quadratic scalars obtained from torsion with …
View article: Kinetic gases in static spherically symmetric modified dispersion relations
Kinetic gases in static spherically symmetric modified dispersion relations Open
We study the dynamics of a collisionless kinetic gas in the most general static, spherically symmetric dispersion relation. For a static, spherically symmetric kinetic gas, we derive the most general solution to these dynamics, and find th…
View article: Cosmological teleparallel perturbations
Cosmological teleparallel perturbations Open
There has been growing interest in $f(Q)$ gravity, which has led to significant advancements in the field. However, it is important to note that most studies in this area were based on the coincident gauge, thus overlooking the impact of t…
View article: Gauge-invariant cosmological perturbations in general teleparallel gravity
Gauge-invariant cosmological perturbations in general teleparallel gravity Open
We study linear cosmological perturbations in the most general teleparallel gravity setting, where gravity is mediated by the torsion and nonmetricity of a flat connection alongside the metric. For a general linear perturbation of this geo…
View article: Kinetic gases in static spherically symmetric modified dispersion relations
Kinetic gases in static spherically symmetric modified dispersion relations Open
We study the dynamics of a collisionless kinetic gas in the most general static, spherically symmetric dispersion relation. For a static, spherically symmetric kinetic gas, we derive the most general solution to these dynamics, and find th…
View article: Teleparallel bigravity
Teleparallel bigravity Open
We write down the teleparallel equivalent to Hassan-Rosen bigravity, which is written using a torsionful but curvature-free connection. The theories only differ by a boundary term. The equivalence was proven, both by using perturbation the…
View article: Perturbations in non-flat cosmology for f(T) gravity
Perturbations in non-flat cosmology for f(T) gravity Open
The study of cosmological perturbation theory in f ( T ) gravity is a topic of great interest in teleparallel gravity since this is one of the simplest generalizations of the theory that modifies the teleparallel equivalent of general rela…
View article: Homogeneous and isotropic cosmology in general teleparallel gravity
Homogeneous and isotropic cosmology in general teleparallel gravity Open
We derive the most general homogeneous and isotropic teleparallel geometries, defined by a metric and a flat, affine connection. We find that there are five branches of connection solutions, which are connected via several limits, and can …
View article: Bootstrapping gravity and its extension to metric-affine theories
Bootstrapping gravity and its extension to metric-affine theories Open
In this work we study diffeomorphism-invariant metric-affine theories of gravity from the point of view of self-interacting field theories on top of Minkowski spacetime (or other background). We revise how standard metric theories couple t…
View article: Teleparallel gravity: from theory to cosmology
Teleparallel gravity: from theory to cosmology Open
Teleparallel gravity (TG) has significantly increased in popularity in recent decades, bringing attention to Einstein’s other theory of gravity. In this Review, we give a comprehensive introduction to how teleparallel geometry is developed…
View article: Teleparallel gravity
Teleparallel gravity Open
In general relativity, the only dynamical field describing the gravitational interaction of matter, is the metric. It induces the causal structure of spacetime, governs the motion of physical bodies through its Levi-Civita connection, and …
View article: Hamiltonian analysis in new general relativity
Hamiltonian analysis in new general relativity Open
It is known that one can formulate an action in teleparallel gravity which is equivalent to general relativity, up to a boundary term. In this geometry we have vanishing curvature, and non-vanishing torsion. The action is constructed by th…
View article: Observables from spherically symmetric modified dispersion relations
Observables from spherically symmetric modified dispersion relations Open
In this work, we continue the systematic study of observable effects emerging from modified dispersion relations. We study the motion of test particles subject to a general first-order modification of the general relativistic dispersion re…
View article: Gravitational wave birefringence in spatially curved teleparallel cosmology
Gravitational wave birefringence in spatially curved teleparallel cosmology Open
We study tensor perturbations around the most general cosmologically symmetric backgrounds in a class of teleparallel gravity theories known as New General Relativity. These theories comprise a one-parameter class, which is fully consisten…
View article: A geometric view on local Lorentz transformations in teleparallel gravity
A geometric view on local Lorentz transformations in teleparallel gravity Open
Local Lorentz transformations play an important role in teleparallel gravity theories, in which a tetrad is conventionally employed as a fundamental field variable describing the gravitational field. It is commonly understood that modifica…
View article: Perturbations in Non-Flat Cosmology for $f(T)$ gravity
Perturbations in Non-Flat Cosmology for $f(T)$ gravity Open
The study of cosmological perturbation theory in $f(T)$ gravity is a topic of great interest in teleparallel gravity since this is one of the simplest generalizations of the theory that modifies the teleparallel equivalent of general relat…
View article: Mathematical foundations for field theories on Finsler spacetimes
Mathematical foundations for field theories on Finsler spacetimes Open
This paper introduces a general mathematical framework for action-based field theories on Finsler spacetimes. As most often fields on Finsler spacetime (e.g., the Finsler fundamental function or the resulting metric tensor) have a homogene…
View article: Parametrized post-Newtonian limit of generalized scalar-nonmetricity theories of gravity
Parametrized post-Newtonian limit of generalized scalar-nonmetricity theories of gravity Open
In this article we calculate the post-Newtonian limit of a general class of\nscalar-nonmetricity theories of gravity. The action is assumed to be a free\nfunction of the nonmetricity scalar, the kinetic term of the scalar field, two\nderiv…