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Refracted Gravity (RG) is a a classical theory of gravity where a gravitational permittivity $ a monotonically-increasing function of the local density rho , is introduced in the Poisson equation to mimic the effect of dark matter at…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-04 Lorenzo Pizzuti , Federico Fantoccoli , Valeria Broccolato , Andrea Biviano , Antonaldo Diaferio

The current vacuum energy density observed as dark energy ${ \rho }_{ \rm dark }\simeq 2.5\times10^{-47}\ {\rm GeV^{4}}$ is unacceptably small compared with any other scales. Therefore, we encounter serious fine-tuning problem and…

High Energy Physics - Theory · Physics 2017-06-07 Kazunori Kohri , Hiroki Matsui

We study disc galaxies in the framework of General Relativity to focus on the possibility that, even in the low energy limit, there are relevant corrections with respect to the purely Newtonian approach. Our analysis encompasses the model…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Davide Astesiano , Matteo Luca Ruggiero

We consider the possibility that masses and gravitational potentials of galaxy cluster, estimated at X-ray wavelengths, could be explained without assuming huge amounts of dark matter, but in the context of $f(R)$-gravity. Specifically, we…

Astrophysics · Physics 2011-02-15 S. Capozziello , E. De Filippis , V. Salzano

While galaxy rotation curves provide one of the most powerful methods for measuring dark matter profiles in the inner regions of rotation-supported galaxies, at the dwarf scale there are factors that can complicate this analysis. Given the…

Starting with the conceptual foundation of general relativity (GR) - equivalence principle, space-time geometry and special relativity, I train cross hairs on two characteristic predictions of GR - black holes and gravitational waves. These…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Patrick Das Gupta

Towards the goal to quantize gravity, in this short review we discuss an intermediate step which consists in extending the picture of standard General Relativity by considering Extended Theories of Gravity. In this tapestry, the equations…

General Relativity and Quantum Cosmology · Physics 2014-03-03 Christian Corda

The effects of several dark energy models on gravitational time delay of particles with non-zero mass are investigated and analytical expressions for the same are obtained at the first order accuracy. Also the expression for gravitational…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Tamal Sarkar , Shubhrangshu Ghosh , Arunava Bhadra

One key piece of evidence for dark matter is the flat rotation curve problem: the disagreement between measured galactic rotation curves and their luminous mass. A novel solution to this problem is presented here. A model of relativistic…

The renormalization group (RG) is a powerful theoretical framework developed to consistently transform the description of configurations of systems with many degrees of freedom, along with the associated model parameters and coupling…

Statistical Mechanics · Physics 2026-04-20 Andrea Gabrielli , Diego Garlaschelli , Subodh P. Patil , M. Ángeles Serrano

There should be two ways to describe the flat rotation curves of galaxies and cluster of galaxies. Either one can introduce a dark matter component for the matter filling the halo, or by modifying the gravity theory and give the flat…

General Relativity and Quantum Cosmology · Physics 2014-04-02 F. Shojai , A. Shojai

A method for finding the renormalization group (RG) improved effective Lagrangian for a massive interacting field theory in curved spacetime is presented. As a particular example, the $\lambda \varphi^4$-theory is considered and the RG…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

We derive a general formula for the RG improved effective (Coleman-Weinberg) potential for classically conformal models, applying it to several examples of physical interest, and in particular a model of QCD coupled via quarks to a…

High Energy Physics - Theory · Physics 2010-01-15 Krzysztof A. Meissner , Hermann Nicolai

We summarize our recent results on the large N renormalization group (RG) approach to matrix models for discretized two-dimensional quantum gravity. We derive exact RG equations by solving the reparametrization identities, which reduce…

High Energy Physics - Theory · Physics 2007-05-23 S. Higuchi , C. Itoi , S. Nishigaki , N. Sakai

It was recently proposed that the effects usually attributed to particle dark matter on galaxy scales are due to the displacement of dark energy by baryonic matter, a paradigm known as emergent gravity. This formalism leads to predictions…

Astrophysics of Galaxies · Physics 2017-03-22 Aurelien Hees , Benoit Famaey , Gianfranco Bertone

In the present investigation flat rotational curves of the galaxies are considered under the framework of brane-world models where the 4d effective Einstein equation has extra terms which arise from the embedding of the 3-brane in the $5d$…

Astrophysics · Physics 2008-11-07 F. Rahaman , M. Kalam , A. DeBenedictis , A. A. Usmani , Saibal Ray

It is shown that the renormalization group (RG) equation in QED can only describe the finite size effects of the system. The RG equation is originated from the response of the renormalized coupling constant for the change of the system size…

High Energy Physics - Theory · Physics 2007-05-23 Takehisa Fujita

Measurements of the clustering of galaxies in Fourier space, and at low wavenumbers, offer a window into the early Universe via the possible presence of scale dependent bias generated by Primordial Non Gaussianites. On such large scales a…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-08 Emanuele Castorina , Enea di Dio

We explore the signatures of quintessence and modified gravity theories in the relativistic description of galaxy clustering within a parametrized post-Friedmann framework. For this purpose, we develop a calibration method to consistently…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-29 Lucas Lombriser , Jaiyul Yoo , Kazuya Koyama

In this review we present the theoretical background for treating General Relativity as an effective field theory and focus on the concrete results of such a treatment. As a result we present the calculations of the low-energy leading…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Arif Akhundov , Anwar Shiekh