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Theorem for Scalar-Valued Functions of Absolute and Relative Tensors
In this chapter we present the proof of a useful theorem forScalar-valued functions of tensors that constitutes the tensor analogue of Euler’s...
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On torsion contribution to chiral anomaly via Nieh–Yan term
In this note we present a solution to the question of whether or not, in the presence of torsion, the topological Nieh–Yan term contributes to chiral...
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Relativistic Space-Times
Our formulation of the field theory of matter in curved dynamical spacetime relies on the vierbein concept that is needed to accommodate matter with...
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Pregeometry and spontaneous time-space asymmetry
In pregeometry a metric arises as a composite object at large distances. We investigate if its signature, which distinguishes between time and space,...
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Generalization of instanton-induced inflation and dynamical compactification
It was shown that Yang-Mills instantons on an internal space can trigger the expansion of our four-dimensional universe as well as the dynamical...
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Gauge Theory of Gravity
In this chapter we provide a detailed description of the Covariant Canonical Gauge theory of Gravity (CCGG).
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Torsion driving cosmic expansion
We study a cosmological model based on the canonical Hamiltonian transformation theory. Using a linear-quadratic approach for the free gravitational...
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Modified Gravity
Modified gravity is one of the best frameworks that can alleviate cosmological tensions, due to the huge freedom one has to construct models....
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Comments on Non-Riemannian Gravity
In this chapter, we review the main mathematical tools of non-Riemannian geometry and give some examples of metric-affine theories of gravity.
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Test of a model coupling of electromagnetic and gravitational fields by using high-frequency gravitational waves
Models of the coupling of electromagnetic and gravitational fields have been studied extensively for many years. In this paper, we consider the...
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Massive propagating modes of torsion
The dynamics of the torsion field is analyzed in the framework of the Covariant Canonical Gauge Theory of Gravity (CCGG), a De Donder–Weyl...
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Weak equivalence principle violation for mixed scalar particles
We investigate the non-relativistic limit of the Klein–Gordon equation for mixed scalar particles and show that, in this regime, one unavoidably...
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The Gravity of Light
The gravitational field of an idealized plane-wave solution of the Maxwell equations can be described in closed form. After discussing this...
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Moyal deformations, W1+∞ and celestial holography
We consider the Moyal deformation of self-dual gravity. In the conformal primary basis, holomorphic collinear limits of the amplitudes of this theory...
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Structure of gauge theories
Elementary interactions are formulated according to the principle of minimal interaction although paying special attention to symmetries. In fact, we...
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Curvature tensor in discrete gravity
We study numerically the curvature tensor in a three-dimensional discrete space. Starting from the continuous metric of a three-sphere, we...
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Noncommutative \(SO(2,3)_{\star }\) gauge theory of gravity
Topological gravity (in the sense that it is metric-independent) in a 2 n -dimensional spacetime can be formulated as a gauge field theory for the AdS...
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Generalized elastic positivity bounds on interacting massive spin-2 theories
We use generalized elastic positivity bounds to constrain the parameter space of multi-field spin-2 effective field theories. These generalized...
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On the calculation of covariant expressions for Dirac bilinears
In this article, various approaches to calculate covariant expressions for the bilinears of Dirac spinors are presented. For this purpose, algebraic...
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Editorial note to: Erwin Schrödinger, Dirac electron in the gravitational field I
We aim to give a mathematical and historical introduction to the 1932 paper “Dirac equation in the gravitational field I” by Erwin Schrödinger on the...