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We explore some second-order amplitudes in loop quantum gravity. In particular, we compute some second-order contributions to diagonal components of the graviton propagator in the large distance limit, using the old version of the…

General Relativity and Quantum Cosmology · Physics 2010-12-17 Davide Mamone , Carlo Rovelli

Optical second harmonic generation near a black hole horizon is suggested as a source of experimental information on quantum gravitational effects. While absent in the framework of general relativity, second harmonic generation appears in…

Astrophysics · Physics 2015-06-24 Igor I. Smolyaninov

High-accuracy gravitational-wave modeling demands going beyond linear, first-order perturbation theory. Particularly motivated by the need for second-order perturbative models of extreme-mass-ratio inspirals and black hole ringdowns, we…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Andrew Spiers , Adam Pound , Barry Wardell

A cosmological first-order phase transition gravitational wave could provide a novel approach to studying the early Universe. In most cases, the acoustic gravitational wave from the sound wave mechanism is dominant. Considering different…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-13 Xiao Wang , Fa Peng Huang , Yongping Li

We study the behavior of light rays in perturbed Robertson-Walker cosmologies, calculating the redshift between an observer and the surface of last scattering to second order in the metric perturbation. At first order we recover the classic…

Astrophysics · Physics 2008-11-26 Ted Pyne , Sean M. Carroll

Analogue black holes, which can mimic the kinetic aspects of real black holes, have been proposed for many years. The growth of the radial momentum of test particles toward the acoustic horizon is calculated for acoustic black holes in flat…

High Energy Physics - Theory · Physics 2022-04-29 QingBing Wang , Xian-Hui Ge

We describe the effect of the gravitational $\Theta$-parameter on the behavior of the stretched horizon of a black hole in $(3+1)$-dimensions. The gravitational $\Theta$-term is a total derivative, however, it affects the transport…

High Energy Physics - Theory · Physics 2016-12-20 Willy Fischler , Sandipan Kundu

The study of long wavelength scalar perturbations, in particular the existence of conserved quantities when the perturbations are adiabatic, plays an important role in e.g. inflationary cosmology. In this paper we present some new conserved…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Claes Uggla , John Wainwright

We explore the behaviour of barotropic and irrotational fluids with a small viscosity under the effect of first-order acoustic perturbations. We discuss, following the extant literature, the difficulties in gleaning an acoustic geometry in…

Fluid Dynamics · Physics 2022-04-04 Mayank Pathak , Parthasarathi Majumdar

Observed angular positions and redshifts of large-scale structure tracers such as galaxies are affected by gravitational waves through volume distortion and magnification effects. Thus, a gravitational wave background can in principle be…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Donghui Jeong , Fabian Schmidt

We consider the impact of second order corrections to the geodesic equation governing gravitational lensing. We start from the full second order metric, including scalar, vector and tensor perturbations, and retain all relevant…

Astrophysics · Physics 2008-11-26 S. Dodelson , E. W. Kolb , S. Matarrese , A. Riotto , P. Zhang

Nonlinear wave-induced perturbations are discussed within the framework of the second-order theory. Due to the slow attenuation of the long perturbations with depth, they modulate motions beneath surface waves down to the bottom and can…

Geophysics · Physics 2025-08-11 Alexey V. Slunyaev , Anna V. Kokorina

A stochastic second-order wave model is applied to assess the statistical properties of wave orbital velocity in random sea states below the water surface. Directional spreading effects as well as the dependency of the water depth are…

We present a general theory for noise-induced corrections to the angular velocity of spiral waves. Stochasticity produces two second-order effects: an instantaneous term from heterogeneity that always slows rotation, and an orbital-drift…

Pattern Formation and Solitons · Physics 2025-12-09 Jolien Kamphuis , Desmond Kabus , Hermen Jan Hupkes , Tim De Coster

We complete the formulation of a general framework for the analysis of high-order nonspherical perturbations of a four-dimensional spherical spacetime by including a gauge-invariant description of the perturbations. We present a general…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Brizuela , Jose M. Martin-Garcia , Guillermo A. Mena Marugan

We study the head-on collision of two equal-mass momentarily stationary black holes, using black hole perturbation theory up to second order. Compared to first-order results, this significantly improves agreement with numerically computed…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

Through second order in perturbative general relativity, a small compact object in an external vacuum spacetime obeys a generalized equivalence principle: although it is accelerated with respect to the external background geometry, it is in…

General Relativity and Quantum Cosmology · Physics 2015-09-08 Adam Pound

The energy budget for gravitational waves of a cosmological first order phase transitions depends on the speed of sound in the thermal plasma in both phases around the bubble wall. Working in the real-singlet augmented Standard Model, which…

High Energy Physics - Phenomenology · Physics 2022-09-14 Tuomas V. I. Tenkanen , Jorinde van de Vis

Two-parameter perturbation theory is a scheme tailor-made to consistently include nonlinear density contrasts on small scales ($<100\; \mathrm{Mpc}$), whilst retaining a traditional approach to cosmological perturbations in the…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Christopher Gallagher , Timothy Clifton , Chris Clarkson

The main aim of the present work is to demonstrate that the analogue gravity phenomena are not an artifact of linear perturbation, rather gravity-like effects emerge through the non linear higher order perturbation of transonic fluid as…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Rohit Ghosh , Souvik Ghose , Biplab Raychaudhuri , Apashanka Das , Tapas K. Das