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Based on a formalism introduced in our previous work, we reconstruct the phenomenological function $G_{\rm eff}(z)$ describing deviations from General Relativity (GR) in a model-independent manner. In this alternative approach, we model…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-26 Rodrigo Calderón , Benjamin L'Huillier , David Polarski , Arman Shafieloo , Alexei A. Starobinsky

Gravitational lensing of gravitational waves is expected to be observed in current and future detectors. In view of the growing number of detections, computationally light pipelines are needed. Detection pipelines used in past…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Jef Heynen , Soumen Roy , Justin Janquart

We provide a systematic and updated discussion of a research line carried out by our group over the last few years, in which gravity is modified at cosmological distances by the introduction of nonlocal terms, assumed to emerge at an…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-15 Enis Belgacem , Yves Dirian , Andreas Finke , Stefano Foffa , Michele Maggiore

I define here a novel function on a modeled space of gravitational-wave signals, before studying its properties as a statistic for detection, as an objective function for identification, and as an effective likelihood function for…

General Relativity and Quantum Cosmology · Physics 2022-11-30 Alvin J. K. Chua

The nonlinear affine Goldstone model of the emergent gravity, built on the nonlinearly realized/hidden affine symmetry, is concisely revisited. Beyond General Relativity, the explicit violation of general invariance/relativity, under…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Yu. F. Pirogov

Recent gravitational wave observations show evidence for the presence of higher harmonics, thus possibly indicating that these waves were generated in the inspiral of compact objects with asymmetric mass ratios. Signals with higher…

General Relativity and Quantum Cosmology · Physics 2022-07-27 S. Mezzasoma , N. Yunes

A covariant reformulation of General Relativity is briefly considered from three points of view: geometrodynamics, Lagrange-Euler field theory, and gauge field theory. From a geometrodynamics perspective, a definition of the reference frame…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander Poltorak

As engineered systems grow in complexity, there is an increasing need for automatic methods that can detect, diagnose, and even correct transient anomalies that inevitably arise and can be difficult or impossible to diagnose and fix…

Instrumentation and Methods for Astrophysics · Physics 2023-03-29 Robert E. Colgan , Zsuzsa Márka , Jingkai Yan , Imre Bartos , John N. Wright , Szabolcs Márka

The gravitational waveforms in the ghost-free bigravity theory exhibit deviations from those in general relativity. The main difference is caused by graviton oscillations in the bigravity theory. We investigate the prospects for the…

General Relativity and Quantum Cosmology · Physics 2015-04-02 Tatsuya Narikawa , Koh Ueno , Hideyuki Tagoshi , Takahiro Tanaka , Nobuyuki Kanda , Takashi Nakamura

The recent direct observation of gravitational waves has further emphasized the desire for fast, low-cost, and accurate methods to infer the parameters of gravitational wave sources. Due to expense in waveform generation and data handling,…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Richard O'Shaughnessy , Jonathan Blackman , Scott E. Field

Deviations from general relativity in order to explain cosmic acceleration generically have both time and scale dependent signatures in cosmological data. We extend our previous work by investigating model independent gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-23 Scott F. Daniel , Eric V. Linder

The Gaussian Process (GP) assumption is often used in functional data analysis. We propose a method to assess departures from the GP assumption, both in terms of the shape of the distribution and its potential dependence on covariates,…

Methodology · Statistics 2026-04-02 Mingyuan Li , Martin A. Lindquist , Edward Gunning , Ciprian Crainiceanu

With the increasing wealth of high-quality astronomical and cosmological data and the manifold departures from General Relativity in principle conceivable, the development of generalized parametrization frameworks that unify gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-22 Lucas Lombriser

We introduce stochastic variational inference for Gaussian process models. This enables the application of Gaussian process (GP) models to data sets containing millions of data points. We show how GPs can be vari- ationally decomposed to…

Machine Learning · Computer Science 2013-09-27 James Hensman , Nicolo Fusi , Neil D. Lawrence

The observations of gravitational-wave signals from astrophysical sources such as binary inspirals will be used to test General Relativity for self consistency and against alternative theories of gravity. I describe a simple formula that…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Michele Vallisneri

Gravity inversion allows us to constrain the interior mass distribution of a planetary body using the observed shape, rotation, and gravity. Traditionally, techniques developed for gravity inversion can be divided into Monte Carlo methods,…

Earth and Planetary Astrophysics · Physics 2015-06-16 Pasquale Tricarico

The $\delta N$ formalism has been the major computational tool to study the superhorizon evolution of the scalar type perturbation sourced by scalar fields. Recently, this formalism was generalized to compute an arbitrary scalar, vector,…

General Relativity and Quantum Cosmology · Physics 2024-09-30 Takahiro Tanaka , Yuko Urakawa

In the coming years, advanced gravitational wave detectors will observe signals from a large number of compact binary coalescences. The majority of these signals will be relatively weak, making the precision measurement of subtle effects,…

Instrumentation and Methods for Astrophysics · Physics 2019-07-03 Aaron Zimmerman , Carl-Johan Haster , Katerina Chatziioannou

Gravitational waves provide a unique opportunity to test gravity in the dynamical and nonlinear regime. We present a parametrized test of general relativity (GR) that introduces generic deviations to the plunge, merger and ringdown stages…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Elisa Maggio

Gravitational waveforms and production could be considerably affected by gravitomagnetic corrections considered in relativistic theory of orbits. Beside the standard periastron effect of General Relativity, new nutation effects come out…

General Relativity and Quantum Cosmology · Physics 2015-05-14 S. Capozziello , M. De Laurentis , L. Forte , F. Garufi , L. Milano