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We review recent theoretical progress and observational constraints on multifractional spacetimes, geometries that change with the probed scale. On the theoretical side, the basic structure of the Standard Model and of the gravitational…

High Energy Physics - Theory · Physics 2018-10-31 Gianluca Calcagni

Several recent studies have shown how to properly calculate the observed clustering of galaxies in a relativistic context, and uncovered corrections to the Newtonian calculation that become significant on scales near the horizon. Here, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Donghui Jeong , Fabian Schmidt , Christopher M. Hirata

We discuss polarization of gravitational radiation within the standard framework of linearized general relativity. The recent experimental discovery of gravitational waves provides the impetus to revisit the implications of the…

General Relativity and Quantum Cosmology · Physics 2022-12-22 Bahram Mashhoon , Sohrab Rahvar

Modified gravity theories often contain a scalar field of gravitational strength which interacts with matter. We examine constraints on the range and the coupling strength of a scalar gravitational degree of freedom using a subset of…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-23 Alireza Hojjati , Aaron Plahn , Alex Zucca , Levon Pogosian , Philippe Brax , Anne-Christine Davis , Gong-Bo Zhao

We present an analysis of a devised sample of Rotation Curves (RCs), aimed at checking the consequences of a modified f(R) gravity on galactic scales. Originally motivated by the the dark energy mystery, this theory may serve as a…

Astrophysics · Physics 2008-11-26 Christiane Frigerio Martins , Paolo Salucci

We consider the possibility of energy being exchanged between the scalar and matter fields in scalar-tensor theories of gravity. Such an exchange provides a new mechanism which can drive variations in the gravitational 'constant' G. We find…

General Relativity and Quantum Cosmology · Physics 2009-01-14 T. Clifton , John D. Barrow

We show that it is possible to steer clear of a spacetime singularity during gravitational collapse by considering the time-variation of a fundamental coupling, in this case, the fine structure constant {\alpha}. We study a spherical…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Soumya Chakrabarti

The last decade has seen an enormous increase of activity in the field of gravitational lensing, mainly driven by improvements of observational capabilities. I will review the basics of gravitational lens theory, just enough to understand…

Astrophysics · Physics 2015-06-24 Peter Schneider

The scalar-tensor theory of gravitation has been and still is one of the most widely discussed "alternative theories" to General Relativity (GR). Despite nearly half a century of its age, it continues to attract renewed interests of not…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasunori Fujii

We show how, by considering the cumulative effect of tiny quantum gravitational fluctuations over very large distances, it may be possible to: ($a$) reconcile nucleosynthesis bounds on the density parameter of the Universe with the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 T. Goldman , J. Pérez-Mercader , Fred Cooper , Michael Martin Nieto

We propose a new class of gravity theories which are characterized by a nontrivial coupling between the gravitational metric and matter mediated by an auxiliary rank-2 tensor. The actions generating the field equations are constructed so…

General Relativity and Quantum Cosmology · Physics 2020-03-05 Justin C. Feng , Sante Carloni

We explore a novel cosmological model based on coupled fields in the framework of scalar tensor theories, considering the specific interplay between gravity and scalar fields. The model further extends a recent axion-dilaton system by…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Mihai Marciu

A spacetime interval connecting two neighbouring points can be measured in different unit systems. For instance, it can be measured in atomic unit defined in terms of fundamental constants existing in quantum theories. It is also possible…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Yousef Bisabr

Problem of cosmological singularity is discussed in the framework of gauge theories of gravitation. Generalizing cosmological Friedmann equations (GCFE) for homogeneous isotropic models including scalar fields and usual gravitating matter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Minkevich

We discuss the existence of an acceleration scale in galaxies and galaxy clusters. The presence of the same acceleration scale found at very different scales and in very different astrophysical objects strongly supports the existence of a…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Douglas Edmonds , Djordje Minic , Tatsu Takeuchi

The point-particle approximation is foundational to modelling clustering of matter in the universe, but is fundamentally inconsistent within General Relativity due to associated spacetime singularities. This bottleneck has historically…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Obinna Umeh

Five-vectors theory of gravity is proposed, which admits an arbitrary choice of the energy density reference level. This theory is formulated as the constraint theory, where the Lagrange multipliers turn out to be restricted to some class…

General Relativity and Quantum Cosmology · Physics 2019-04-02 S. L. Cherkas , V. L. Kalashnikov

In this paper I argue for a reassessment of special relativity. The fundamental theory of relativity applicable in this Universe has to be consistent with the existence of the massive Universe, and with the effects of its gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. S. Unnikrishnan

If torsion exists, it generates gravitational four-fermion interaction (GFFI). This interaction gets dominating on the Planck scale. If one confines to the regular, axial-axial part of this interaction, the results do not comply with the…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-30 I. B. Khriplovich , A. S. Rudenko

Luminous tracers have been used extensively to map the large-scale matter distribution in the Universe. Similarly the dynamics of stars or galaxies can be used to estimate masses of galaxies and clusters of galaxies. However, assumptions…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-25 H. Hoekstra