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Fracton gauge fields from higher-dimensional gravity
We show that the fractonic dipole-conserving algebra can be obtained as an Aristotelian (and pseudo-Carrollian) contraction of the Poincaré algebra...
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Compatibility of the dimensional reduction and variation procedures for a quadratic curvature model with a Kaluza–Klein Ansatz
The introduction of extra dimensions is an invaluable strategy for the unification of gravity with other physical fields. Nevertheless, the matter in...
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Gravitation and general relativity at King’s College London
This essay concerns the study of gravitation and general relativity at King’s College London (KCL). It covers developments since the nineteenth...
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A gravitational gauge field theory based on Stephenson–Kilmister–Yang gravitation with scalar and spinor fields as gravitating matter sources
A gravitational gauge theory with a spin–affine connection (Lorentz connection) as a rotational gauge potential (fundamental dynamical variable) is...
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Yang’s Theory of Gravity
It was not only the sixtieth anniversary of the Yang–Mills (YM) equation (Yang & Mills 1954), but also the fortieth anniversary of Yang’s theory of...
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On the History of Unified Field Theories. Part II. (ca. 1930–ca. 1965)
The present review intends to provide an overall picture of the research concerning classical unified field theory, worldwide, in the decades between...
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General Relativity and Gravitation
This chapter treats Einstein’s theory of gravitation, namely general relativity, as well as modifications and extensions thereof. The chapter starts...
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Kaluza–Klein reduction of a quadratic curvature model
Palatini variational principle is implemented on a five dimensional quadratic curvature gravity model, rendering two sets of equations, which can be...
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Gravitational Gauge Theory Developed Based on the Stephenson-Kilmister-Yang Equation
A Yang-Mills formulation of Einstein gravity with spin-affine connection as the dynamical variable of gravitational field is suggested based on the...
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On torsion-free vacuum solutions of the model of de Sitter gauge theory of gravity (II)
It is shown that all torsion-free vacuum solutions of the model of de Sitter (dS) gauge theory of gravity are the vacuum solutions of Einstein field...
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Einsteinian gravity from a topological action
The curvature-squared model of gravity, in the affine form proposed by Weyl and Yang, is deduced from a topological action in 4D. More specifically,...
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Duality in Yang’s theory of gravity
The historical route and the current status of a curvature-squared model of gravity, in the affine form proposed by Yang, is briefly reviewed. Due to...
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More Mathematics
In Part A we outlined exterior algebra and exterior calculus on differential manifolds that are “bare” in the sense that no other geometrical...
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Yang-Mills gauge theory and gravitation
We point out that Yang's and Einstein's gravitational equations can be obtained from a geometric approach of Yang-Mills gauge theory in a sourceless...
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Bianchi and Weyl equations as sufficient equations for Einstein spaces
When the Bianchi equation and the wave equation for the Weyl spinor are written in the form which they take for Einstein spaces, but with the...
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A renormalizable theory of quantum gravity
We present a proof of renormalizability for a non-Riemannian model, based on gauging GL(4,R), in which Einstein's Gravity dominates the low-energy...
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