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We investigate the gauge invariance of the second order gravitational waves induced by the first order scalar perturbations by following the Lie derivative method. It is shown explicitly that the second order gravitational waves are gauge…

广义相对论与量子宇宙学 · 物理学 2020-09-30 Zhe Chang , Sai Wang , Qing-Hua Zhu

We discuss the signature of the scale of short distance physics in the Cosmic Microwave Background. In addition to effects which depend on the ratio of Hubble scale H during inflation to the energy scale M of the short distance physics,…

高能物理 - 理论 · 物理学 2009-11-07 Gary Shiu , Ira Wasserman

We discuss the influence of gravitational waves (GWs) upon the polarisation of the Cosmic Microwave Background Radiation (CMBR). We show how to compute the {\em rms} temperature anisotropy and polarisation of the CMBR induced by GWs of…

天体物理学 · 物理学 2016-06-08 R. A. Frewin , A. G. Polnarev , P. Coles

Weak gravitational lensing has several important effects on the cosmic microwave background (CMB): it changes the CMB power spectra, induces non-Gaussianities, and generates a B-mode polarization signal that is an important source of…

天体物理学 · 物理学 2007-05-23 Antony Lewis , Anthony Challinor

We study contributions to the cosmic microwave background (CMB) bispectrum from non-Gaussianity induced by secondary anisotropies during reionization. Large-scale structure in the reionized epoch both gravitational lenses CMB photons and…

天体物理学 · 物理学 2009-10-31 Asantha R. Cooray , Wayne Hu

Major advances in the observation and theory of cosmic microwave background anisotropies have opened up a new era in cosmology. This has encouraged the hope that the fundamental parameters of cosmology will be determined to high accuracy in…

天体物理学 · 物理学 2015-06-24 Roy Maartens

We reanalyse Cosmic Microwave Background data from experiments probing both large and small scales. We assume that measured anisotropies are due not only to primary fluctuations but also, especially at small scales, to secondary effects…

天体物理学 · 物理学 2007-05-23 Marian Douspis , Nabila Aghanim , Mathieu Langer

If current ideas about unified field theories are correct, macroscopic cosmic defects may well exist. The observation of such an entity would have enormous significance for our understanding of fundamental physics. This paper points out a…

天体物理学 · 物理学 2009-10-28 Neil Turok

The second-order gravitational self-force on a small body is an important problem for gravitational-wave astronomy of extreme mass-ratio inspirals. We give a first-principles derivation of a prescription for computing the first and second…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Samuel E. Gralla

The integrated Sachs-Wolfe (ISW) effect describes how photons are gravitationally redshifted, producing anisotropies in the Cosmic Microwave Background. We study the inverse problem and show that primordial gravitational perturbations, in…

广义相对论与量子宇宙学 · 物理学 2025-10-29 Yiran Wang

Recently high quality data of the cosmic microwave background anisotropies have been published. In this work we study to which extent the cosmological parameters determined by using this data depend on assumptions about the initial…

天体物理学 · 物理学 2009-11-06 R. Trotta , A. Riazuelo , R. Durrer

We calculate the full second-order radiation transfer function for Cosmic Microwave Background anisotropies on large angular scales in a flat universe filled with matter and cosmological constant. It includes (i) the second-order…

天体物理学 · 物理学 2009-11-13 N. Bartolo , S. Matarrese , A. Riotto

Non-gaussianity and B-mode polarization are particularly interesting features of the cosmic microwave background, as -- at least in the standard model of cosmology -- their only sources to first order in cosmological perturbation theory are…

宇宙学与河外天体物理 · 物理学 2014-11-20 M. Beneke , C. Fidler

In this review we look into the gauge-dependence of scalar-induced gravitational waves (SIGWs) that are second-order tensors produced by first-order scalar-modes. The method includes deriving the background, first- and second-order Einstein…

广义相对论与量子宇宙学 · 物理学 2025-06-27 Anjali Abirami Kugarajh

We solve the wave equation for the electromagnetic field tensors associated with the CMBR photons in a universe with scalar metric perturbations. We show that the coupling of the electromagnetic fields with the curvature associated with the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Subhendra Mohanty , A. R. Prasanna

Second-order power spectra of Cosmic Microwave Background (CMB) anisotropies due to random primordial perturbations at the matter dominant stage are studied, based on the relativistic second-order theory of perturbations in flat…

天体物理学 · 物理学 2008-11-26 Kenji Tomita

The energy momentum tensor of a magnetic field always contains a spin-2 component in its anisotropic stress and therefore generates gravitational waves. It has been argued in the literature (Caprini & Durrer \cite{CD}) that this…

天体物理学 · 物理学 2010-08-13 Elisa Fenu , Ruth Durrer

We study the morphology of the cosmic microwave background temperature and polarization fields using the shape and alignment parameters, $\beta$ and $\alpha$, that are constructed from the contour Minkowski tensor. The primary goal of our…

宇宙学与河外天体物理 · 物理学 2020-03-04 Priya Goyal , Pravabati Chingangbam , Stephen Appleby

We consider in detail the problem of gauge dependence that exists in relativistic perturbation theory, going beyond the linear approximation and treating second and higher order perturbations. We first derive some mathematical results…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Marco Bruni , Sabino Matarrese , Silvia Mollerach , Sebastiano Sonego

We continue to study the 2nd-order cosmological perturbations in synchronous coordinates in the framework of the general relativity (GR) during the radiation dominated (RD) stage, and to focus on the scalar-tensor and tensor-tensor…

广义相对论与量子宇宙学 · 物理学 2019-06-27 Bo Wang , Yang Zhang