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Related papers: Multipole analysis for linearized $f(R)$ gravity w…

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We review a technique for solving a class of classical linear partial differential systems of relevance to physics in Minkowski spacetime. All the equations are amenable to analysis in terms of complex solutions in the kernel of the scalar…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Robin W. Tucker , Timothy J. Walton

A Lorentz and conformally invariant `Schr\"{o}dinger-like' equation for a massless complex scalar function $\psi$ is derived from an invariant action, and it is shown how the same $\psi$ can be used to calculate both the gravitational field…

General Relativity and Quantum Cosmology · Physics 2021-06-15 Partha Nandi , Partha Ghose

We study a general Scalar-Tensor Theory with an arbitrary coupling funtion $\omega (\phi )$ but also an arbitrary dependence of the ``gravitational constant'' $G(\phi )$ in the cases in which either one of them, or both, do not admit an…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Diego F. Torres , Héctor Vucetich

General Relativity suffers for two main problems which have not yet been overcome: it predicts spacetime singularities and cannot be formulated as a perturbative renormalizable theory. In particular, many attempts have been made for…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Salvatore Capozziello , Maurizio Capriolo , Amodio Carleo , Gaetano Lambiase

We study the self-compactification of extra dimensions via higher curvature gravity, f(R), where f(R) is the generic function of the Ricci scalar R. First, we reduce pure f(R) theory to a scalar-tensor theory by a conformal transformation.…

High Energy Physics - Theory · Physics 2011-02-16 Beyhan Pulice , Sukru Hanif Tanyildizi

We study inflation in the framework of extended metric-affine F(R) gravity, where all even-parity quadratic invariants of torsion and non-metricity are included in the Lagrangian alongside the F(R) term. The extended theory admits a…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Damianos Iosifidis , Sotirios Karamitsos

The main purpose of this paper is to investigates structure scalars in the context of $f(\mathcal{G}, T)$ gravity, where $\mathcal{G}$ is the Gauss-Bonnet invariant and $T$ is the trace of stress energy tensor. For this aim, we have…

General Relativity and Quantum Cosmology · Physics 2018-04-05 M. Farasat Shamir , M. Awais Sadiq

Formal expressions are derived for the multipole expansion of the structure functions of a general polarization observable of exclusive electrodisintegration of the deuteron using a longitudinally polarized beam and/or an oriented target.…

Nuclear Theory · Physics 2007-05-23 Hartmuth Arenhoevel , Winfried Leidemann , Edward L. Tomusiak

The general relativistic treatment of gravitation can be extended by preserving the geometrical nature of the theory but modifying the form of the coupling between curvature and stress tensors. The gravitation constant is thus replaced by…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Marc-Thierry Jaekel , Serge Reynaud

Symmetries and conserved charges are investigated for linearised gravity and its dual formulation in terms of the dual graviton field. Conserved charges are constructed for the dual graviton theory as Noether charges associated with…

High Energy Physics - Theory · Physics 2024-02-01 C. M. Hull

We consider $f\left(R\right) $-gravity in a Friedmann-Lema\^itre-Robertson-Walker spacetime with zero spatial curvature. We apply the Killing tensors of the minisuperspace in order to specify the functional form of $f\left(R\right) $ and…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Andronikos Paliathanasis

Stationary, asymptotically flat spacetimes in general relativity can be characterized by their multipole moments. The moments have proved to be very useful tools for extracting information about the spacetime from various observables and,…

General Relativity and Quantum Cosmology · Physics 2015-02-10 George Pappas , Thomas P. Sotiriou

We consider the emergence of large-scale cosmological expansion in scalar-tensor theories of gravity. This is achieved by modelling sub-horizon regions of space-time as weak-field expansions around Minkowski space, and then subsequently…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Chad Briddon , Timothy Clifton , Pierre Fleury

We derive the governing equations for multiple scalar fields minimally coupled to gravity in a flat Friedmann-Robertson-Walker (FRW) background spacetime on large scales. We include scalar perturbations up to second order and write the…

Astrophysics · Physics 2009-11-13 Karim A. Malik

The $f(R)$ theory of gravity can be expressed as a scalar tensor theory with a scalar degree of freedom $\phi$. By a conformal transformation, the action and its Gibbons-York-Hawking boundary term are written in the Einstein frame and the…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Roger A. Hurtado , Robel Arenas

The rate of energy loss and orbital period decay of quasi-stable compact binary systems are derived in $f(R)$ theory of gravity using the method of a single vertex graviton emission process from a classical source. After linearising the…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Ashish Narang , Subhendra Mohanty , Soumya Jana

We perform the manifestly covariant quantization of $f(R)$ gravity in the de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance. We explicitly calculate various equal-time commutation relations (ETCRs),…

High Energy Physics - Theory · Physics 2024-10-29 Ichiro Oda

Maxwell test fields as well as solutions of linearized gravity on the Kerr exterior admit non-radiating modes, i.e. non-trivial time-independent solutions. These are closely related to conserved charges. In this paper we discuss the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Steffen Aksteiner , Lars Andersson

Stress-tensor deformations suggest a geometric origin of emergent gravity but are typically non-local for $d>2$. We couple a seed QFT to Einstein gravity with deformation parameter $\lambda$ and evaluate the gravitational path integral at…

High Energy Physics - Theory · Physics 2026-03-10 Yunfei Xie , Yun-Ze Li , Lixin Xu , Song He

The teleparallel formulation of gravity theories reveals close structural analogies to electrodynamics, which are more hidden in their usual formulation in terms of the curvature of spacetime. We show how every locally Lorentz invariant…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Manuel Hohmann , Laur Järv , Martin Krššák , Christian Pfeifer