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The parametrized post-Einsteinian (ppE) framework and its variants are widely used to probe gravity through gravitational-wave tests that apply to a large class of theories beyond general relativity. However, the ppE framework is not truly…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Yiqi Xie , Deep Chatterjee , Gautham Narayan , Nicolás Yunes

We use the parameterized post-Newtonian (PPN) formalism to explore the weak field approximation of teleparallel gravity non-minimally coupling to a scalar field $\phi$, with arbitrary coupling function $\omega(\phi)$ and potential…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Zu-Cheng Chen , You Wu , Hao Wei

The Parameterised Post-Newtonian (PPN) approach is the default framework for performing precision tests of gravity in nearby astrophysical systems. In recent works we have extended this approach for cosmological applications, and in this…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-18 Daniel B. Thomas , Theodore Anton , Timothy Clifton , Philip Bull

In the framework of the parametrized post-Newtonian (PPN) formalism, we substantiate an idea according to which we can measure the value of the cosmological gravitational potential $\Phi$ at the location of the Solar System, which is formed…

General Physics · Physics 2020-11-12 V. I. Yudin , A. V. Taichenachev

We present a recent result on the parameterized post-Newtonian (PPN) limit of Horndeski's gravity theory and its consistency with solar system observations.

General Relativity and Quantum Cosmology · Physics 2016-03-16 Manuel Hohmann

There is a distinct possibility that current and future cosmological data can be used to constrain Einstein's theory of gravity on the very largest scales. To be able to do this in a model-independent way, it makes sense to work with a…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-13 Tessa Baker , Pedro G. Ferreira , Constantinos Skordis , Joe Zuntz

We present an approach to the parametrized post-Newtonian (PPN) formalism which is based on gauge-invariant higher order perturbation theory. This approach divides the components of the metric perturbations into gauge-invariant quantities,…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Manuel Hohmann

We extend the systematic calculation of an approximately relativistic Hamiltonian for centre of mass and internal dynamics of an electromagnetically bound two-particle system by Sonnleitner and Barnett [1] to the case including a weak…

Quantum Physics · Physics 2019-11-27 Philip K. Schwartz , Domenico Giulini

We present an extension to the gauge-invariant formulation of the parameterized post-Newtonian (PPN) formalism, which allows its application to symmetric teleparallel gravity theories. In its original formulation, the gauge-invariant PPN…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Manuel Hohmann

Some theories of gravity predict the existence of preferred-frame effects and violations of conservation of energy and momentum. General relativity predicts no such effects. In the parameterised post-Newtonian (PPN) formalism, the…

Astrophysics · Physics 2009-10-28 J. F. Bell

In the recent times, test of Lorentz Invariance has been used as a means to probe theories of physics beyond the standard model. We describe a simple way of utilizing the polarimeters, which are a critical beam instrument at precision and…

Nuclear Experiment · Physics 2016-01-13 Prajwal Mohanmurthy , Dipangkar Dutta , Amrendra Narayan

Post-Newtonian equations of motion of a system of $N$ mass monopoles in the framework of the PPN formalism with two parameters $\beta$ and $\gamma$ are derived for the case when the Strong Equivalence Principle can be violated. The…

General Relativity and Quantum Cosmology · Physics 2016-07-04 Sergei A. Klioner

By turning to a differential formulation, the post-Newtonian description of metric gravitational theories (PPN formalism) has been extended to include cosmological boundary conditions. The dimensionless expansion parameter is the ratio…

General Relativity and Quantum Cosmology · Physics 2009-10-28 G. Dautcourt

The Parameterized Post-Newtonian (PPN) formalism offers an agnostic framework for evaluating theories of gravity that extend beyond General Relativity. Departures from General Relativity are represented by a set of dimensionless parameters…

Astrophysics of Galaxies · Physics 2025-02-19 Victor de Mora Losada , Riccardo Della Monica , Ivan de Martino , Mariafelicia De Laurentis

We derive a theory-independent version of the momentum constraint equation for use in cosmology, as a part of the Parameterised Post-Newtonian Cosmology (PPNC) framework. Our equations are constructed by adapting the corresponding…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Theodore Anton , Timothy Clifton

We discuss a covariant generalization of the parametrized post-Newtonian (PPN) formalism in a class of scalar-tensor theories of gravity. It includes an exact construction of a set of global and local (Fermi-like) references frames for an…

General Relativity and Quantum Cosmology · Physics 2009-01-14 Sergei Kopeikin , Igor Vlasov

Scale-dependent gravity is an extension of general relativity in which the Newton and cosmological constants may vary slightly with the energy scale due to remnant low-energy quantum effects. A fundamental feature of this approach is the…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Nicolas R. Bertini , Marcos H. Novaes

The Standard-Model Extension (SME) provides a comprehensive effective field-theory framework for the study of CPT and Lorentz symmetry. This work reviews the structure and philosophy of the SME and provides some intuitive examples of…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Jay D. Tasson

Screened modified gravity (SMG) is a kind of scalar-tensor theories with screening mechanisms, which can generate screening effect to suppress the fifth force in high density environments and pass the solar system tests. Meanwhile, the…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Xing Zhang , Wen Zhao , He Huang , Yifu Cai

The current bounds on the PPN parameters gamma and beta are of the order of 10^-4-10^-5. Various missions aimed at improving such limits by several orders of magnitude have more or less recently been proposed like LATOR, ASTROD, BepiColombo…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lorenzo Iorio