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In this paper we construct an effective field theory (EFT) that describes long wavelength gravitational radiation from compact systems. To leading order, this EFT consists of the multipole expansion, which we describe in terms of a…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Walter D. Goldberger , Andreas Ross

The recent direct observation of gravitational waves (GW) from merging black holes opens up the possibility of exploring the theory of gravity in the strong regime at an unprecedented level. It is therefore interesting to explore which…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Solomon Endlich , Victor Gorbenko , Junwu Huang , Leonardo Senatore

The effective field theory (EFT) of cosmological perturbations is a useful framework to deal with the low-energy degrees of freedom present for inflation and dark energy. We review the EFT for modified gravitational theories by starting…

General Relativity and Quantum Cosmology · Physics 2014-11-13 Shinji Tsujikawa

Modifications of General Relativity usually include extra dynamical degrees of freedom, which to date remain undetected. Here we explore the possibility of modifying Einstein's theory by adding solely nondynamical fields. With the minimal…

General Relativity and Quantum Cosmology · Physics 2014-01-07 Paolo Pani , Thomas P. Sotiriou , Daniele Vernieri

This paper explores modifications to General Relativity (GR) by considering higher-order curvature terms in the gravitational action, specifically focusing on the quadratic Ricci scalar and a particular cubic contraction of the Riemann…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Raghotham A Kulkarni , Rahul , Soham Bhattacharyya , Dawood Kothawala

Gravity and general relativity are considered as an Effective Field Theory at low energies and macroscopic distances. The effective action of the conformal anomaly of light or massless quantum fields has significant effects on macroscopic…

High Energy Physics - Theory · Physics 2023-02-20 Emil Mottola

We present an Effective Field Theory (EFT) formalism which describes the dynamics of non-relativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by…

High Energy Physics - Theory · Physics 2013-05-29 Walter D. Goldberger , Ira Z. Rothstein

We describe an infinite-parametric class of effective metric Lagrangians that arise from an underlying theory with two propagating degrees of freedom. The Lagrangians start with the Einstein-Hilbert term, continue with the standard R^2,…

High Energy Physics - Theory · Physics 2010-04-21 Kirill Krasnov

Higher derivative corrections are ubiquitous in effective field theories, which seemingly introduces new degrees of freedom at successive order. This is actually an artefact of the implicit local derivative expansion defining effective…

High Energy Physics - Theory · Physics 2024-07-30 Dražen Glavan

We extend the effective field theory (EFT) formalism for gravitational radiation from a binary system of compact objects to the case of extended objects. In particular, we study the EFT for a binary system consisting of two infinitely-long…

High Energy Physics - Theory · Physics 2021-08-25 Mariana Carrillo Gonzalez , Qiuyue Liang , Mark Trodden

We discuss field theories appearing as a result of applying field transformations with derivatives (differential field transformations, DFT) to a known theory. We begin with some simple examples of DFTs to see the basic properties of the…

General Relativity and Quantum Cosmology · Physics 2020-02-06 A. A. Sheykin , D. P. Solovyev , V. V. Sukhanov , S. A. Paston

In this work, we show that a class of metric-affine gravities can be reduced to a Riemann-Cartan one. The reduction is based on the cancelation of the nonmetricity against the symmetric components of the spin connection. A heuristic proof,…

High Energy Physics - Theory · Physics 2010-12-17 R. F. Sobreiro , V. J. Vasquez Otoya

We have continued the development of Lagrangian, cosmological perturbation theory for the low-order correlators of the matter density field. We provide a new route to understanding how the effective field theory (EFT) of large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Zvonimir Vlah , Martin White , Alejandro Aviles

Inspired by the generalization of scalar field gravitational models with a minimum length we study the equivalent theory in modified theories of gravity. The quadratic Generalized Uncertainty Principle (GUP) gives rise to a deformed…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Andronikos Paliathanasis

We discuss mimetic gravity theories with direct couplings between the curvature and higher derivatives of the scalar field, up to the quintic order, which were proposed to solve the instability problem for linear perturbations around the…

General Relativity and Quantum Cosmology · Physics 2019-12-18 Alexander Ganz , Nicola Bartolo , Sabino Matarrese

We figure out the explicit expression for the trace of the field equations associated to generic higher derivative theories of gravity endowed with Lagrangians depending upon the metric and its Riemann tensor, together with arbitrary order…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Jun-Jin Peng , Hua Li

We study the conservative dynamics of spinless compact objects in a general effective theory of gravity which includes a metric and an arbitrary number of scalar fields, through $\mathcal{O}(G^{3})$. Departures from Einstein gravity, which…

High Energy Physics - Theory · Physics 2025-08-14 Jordan Wilson-Gerow

General Relativity can be reformulated as a diffeomorphism invariant gauge theory of the Lorentz group, with Lagrangian of the type $f(F\wedge F)$, where $F$ is the curvature 2-form of the spin connection. A theory from this class with a…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Kirill Krasnov , Ermis Mitsou

In gravity theories derived from a f(R) Lagrangian, matter is usually supposed to be minimally coupled to the metric, which hence defines a ``Jordan frame.'' However, since the field equations are fourth order, gravity possesses an extra…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda

We derive the equation of matter density perturbations on sub-horizon scales around a flat Friedmann-Lema\^\i tre-Robertson-Walker background for the general Lagrangian density $f(R,\GB)$ that is a function of a Ricci scalar $R$ and a…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-13 Antonio De Felice , Teruaki Suyama
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