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Four-dimensional random geometries can be generated by statistical models with rank-4 tensors as random variables. These are dual to discrete building blocks of random geometries. We discover a potential candidate for a continuum limit in…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Astrid Eichhorn , Johannes Lumma , Antonio D. Pereira , Arslan Sikandar

In this thesis, I investigate how to construct a self-consistent model of deformed general relativity using canonical methods and metric variables. The specific deformation of general covariance is predicted by some studies into loop…

General Relativity and Quantum Cosmology · Physics 2019-10-07 Rhiannon Cuttell

The definition of a reference frame in General Relativity is achieved through the construction of a congruence of time-like world-lines. In this framework, splitting techniques enable us to express physical phenomena in analogy with Special…

General Physics · Physics 2026-05-13 Matteo Luca Ruggiero

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

Using ideas from continuum mechanics we construct a theory of gravity. We show that this theory is equivalent to Einstein's theory of general relativity; it is also a much faster way of reaching general relativity than the conventional…

General Relativity and Quantum Cosmology · Physics 2015-01-28 Christian G. Boehmer , Robert J. Downes

We develop the general relativity of extended spacetime-property for describing events including their properties. The anticommuting nature of property coordinates, augmenting space-time $({\bf x},t)$, allows for the natural emergence of…

High Energy Physics - Theory · Physics 2015-06-18 Robert Delbourgo , Paul D Stack

The principal goal of the physics of the fundamental interactions is to provide a consistent description of the nature of the subnuclear forces, which manifest in our universe, together with the gravitational force, in a unified framework.…

High Energy Physics - Phenomenology · Physics 2013-08-02 Luigi Delle Rose

A generalized model of space-time is given, taking into consideration the anisotropic structure of fields which are depended on the position and the direction (velocity).In this framework a generalized FRW-metric the Raychaudhouri and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. C. Stavrinos , A. P. Kouretsis , M. Stathakopoulos

The actions of the ``$R=T$'' and string-inspired theories of gravity in (1+1) dimensions are generalized into one single action which is characterized by two functions. We discuss differing interpretations of the matter stress-energy…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. S. F. Chan , R. B. Mann

We reformulate the general theory of relativity in the language of Riemann-Cartan geometry. We start from the assumption that the space-time can be described as a non-Riemannian manifold, which, in addition to the metric field, is endowed…

General Relativity and Quantum Cosmology · Physics 2015-06-12 J. B. Fonseca-Neto , C. Romero , S. P. G. Martinez

The gauge gravitation theory in the Riemann-Cartan space-time is investigated in order to solve the fundamental problems of the general relativity theory. The constraints for indefinite parameters of the theory under which solutions of…

General Relativity and Quantum Cosmology · Physics 2026-01-22 A. V. Minkevich

We present conservative 3+1 general relativistic variable Eddington tensor radiation transport equations, including greater elaboration of the momentum space divergence (that is, the energy derivative term) than in previous work. These…

High Energy Astrophysical Phenomena · Physics 2013-07-08 Christian Y. Cardall , Eirik Endeve , Anthony Mezzacappa

Besides two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the one-way speed of light in all inertial frames of reference, the special theory of relativity uses the assumption about the Euclidean structure…

General Physics · Physics 2007-05-23 Jian-Miin Liu

Chern-Simons models for gravity are interesting because they provide with a truly gauge-invariant action principle in the fiber-bundle sense. So far, their main drawback has largely been the perceived remoteness from standard General…

High Energy Physics - Theory · Physics 2014-11-18 Fernando Izaurieta , Paul Minning , Alfredo Pérez , Eduardo Rodríguez , Patricio Salgado

We give a critical overview of various attempts to describe gravity as an emergent phenomenon, starting from examples of condensed matter physics, to arrive to more sophisticated pregeometric models. The common line of thought is to view…

General Relativity and Quantum Cosmology · Physics 2012-05-15 Lorenzo Sindoni

We discuss equivalent representations of gravity in the framework of metric-affine geometries pointing out basic concepts from where these theories stem out. In particular, we take into account tetrads and spin connection to describe the so…

General Relativity and Quantum Cosmology · Physics 2022-12-06 Salvatore Capozziello , Vittorio De Falco , Carmen Ferrara

The generalisation of proper time, as an alternative to models with extra dimensions of space, has been proposed as the source of the elementary structures of matter. Direct connections with the Standard Model of particle physics together…

General Physics · Physics 2023-08-29 David J. Jackson

Relying on the equivalence principle, a first approach of the general theory of relativity is presented using the spacetime metric of an observer with a constant proper acceleration. Within this non inertial frame, the equation of motion of…

Physics Education · Physics 2007-05-23 Claude Semay

For field theories in curved spacetime, defining how matter gravitates is part of the theory building process. In this letter, we adopt Bekenstein's multiple geometries approach to allow part of the matter sector to follow the geodesics on…

High Energy Physics - Theory · Physics 2020-01-03 A. Emir Gumrukcuoglu , Ryo Namba

A kinetic theory of relativistic gases in a two-dimensional space is developed in order to obtain the equilibrium distribution function and the expressions for the fields of energy per particle, pressure, entropy per particle and heat…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. M. Kremer , F. P. Devecchi