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We present a fully covariant and gauge-invariant analysis of linear cosmological perturbations in Energy-Momentum Squared Gravity. Working within the 1+3 formalism, we derive the exact propagation equations for scalar, vector, and tensor…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Peter K. S. Dunsby , Maria-Alexia Caldis , Eduardo Bittencourt

We derive novel identities satisfied by inflationary correlation functions in the limit where two external momenta are taken to be small. We derive these statements in two ways: using background-wave arguments and as Ward identities…

High Energy Physics - Theory · Physics 2015-01-13 Austin Joyce , Justin Khoury , Marko Simonović

As is well known, the non-Gaussianity parameter $f_{_{\rm NL}}$, which is often used to characterize the amplitude of the scalar bi-spectrum, can be expressed completely in terms of the scalar spectral index $n_{\rm s}$ in the squeezed…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 V. Sreenath , Dhiraj Kumar Hazra , L. Sriramkumar

A disformal coupling between two scalar fields is considered in the context of cosmological inflation. The coupling introduces novel derivative interactions mixing the kinetic terms of the fields but without introducing superluminal or…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-23 Carsten van de Bruck , Tomi Koivisto , Chris Longden

Single-field perturbations satisfy an infinite number of consistency relations constraining the squeezed limit of correlation functions at each order in the soft momentum. These can be understood as Ward identities for an infinite set of…

High Energy Physics - Theory · Physics 2015-06-18 Lasha Berezhiani , Justin Khoury , Junpu Wang

In order to extract maximal information about cosmology from the large-scale structure of the Universe, one needs to use every bit of signal that can be observed. Beyond the spatial distributions of astronomical objects, the spatial…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-23 Takahiko Matsubara

The slow roll approximation is studied for cosmological models in Hyperextended Scalar-Tensor Theories of Gravity. A procedure to obtain slow roll solutions in non-minimally coupled gravity is outlined and some examples are provided. An…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Diego F. Torres

In cosmological perturbation theory it is convenient to use the scalar, vector, tensor (SVT) basis as defined according to how these components transform under 3-dimensional rotations. In attempting to solve the fluctuation equations that…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Matthew G. Phelps , Asanka Amarasinghe , Philip D. Mannheim

One of the firm predictions of inflationary cosmology is the consistency relation between scalar and tensor spectra. It has been argued that such a relation -if experimentally confirmed- would offer strong support for the idea of inflation.…

General Relativity and Quantum Cosmology · Physics 2016-08-31 A. Ashoorioon , J. L. Hovdebo , R. B. Mann

The Noether symmetry analysis is applied in a multi-scalar field cosmological model in teleparallel gravity. In particular, we consider two scalar fields with interaction in scalar-torsion theory. The field equations have a minisuperspace…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Konstantinos F. Dialektopoulos , Genly Leon , Andronikos Paliathanasis

We study the effect of electromagnetic interactions on the classical soft theorems on an asymptotically AdS background in 4 spacetime dimensions, in the limit of a small cosmological constant or equivalently a large AdS radius $l$. This…

High Energy Physics - Theory · Physics 2021-09-15 Nabamita Banerjee , Karan Fernandes , Arpita Mitra

In this paper we study canonical scalar field models with a varying second slow-roll parameter, that allow transitions between constant-roll eras. In the models with two constant-roll eras it is possible to avoid fine-tunings in the initial…

General Relativity and Quantum Cosmology · Physics 2017-07-26 S. D. Odintsov , V. K. Oikonomou

We consider thermal effects in the propagation of gravitational waves on a cosmological background. In particular, we consider scalar field cosmologies and study gravitational modes near cosmological singularities. We point out that the…

General Relativity and Quantum Cosmology · Physics 2021-08-10 Salvatore Capozziello , Shin'ichi Nojiri , Sergei D. Odintsov

Correlation functions of primordial density fluctuations provide an exciting probe of the physics governing the earliest moments of our Universe. However, the standard approach to compute them is technically challenging. Theoretical…

High Energy Physics - Theory · Physics 2024-09-26 Denis Werth , Lucas Pinol , Sébastien Renaux-Petel

In this thesis we will primarily demonstrate how additional scalar degrees of freedom - which are motivated from many high-energy embeddings - open up new observational windows onto the physics of inflation. We construct a Bayesian…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-11 Robert J. Hardwick

If the inflaton is a heavy scalar field, it may equilibrate slower than some other degrees of freedom, e.g. non-Abelian gauge bosons. In this case, perturbations in the inflaton field and in a thermal plasma coexist from a given moment…

High Energy Physics - Phenomenology · Physics 2024-10-18 M. Laine , S. Procacci , A. Rogelj

We study the cosmology of a Lee-Wick type scalar field theory. First, we consider homogeneous and isotropic background solutions and find that they are nonsingular, leading to cosmological bounces. Next, we analyze the spectrum of…

High Energy Physics - Theory · Physics 2009-11-18 Yi-Fu Cai , Taotao Qiu , Robert Brandenberger , Xinmin Zhang

Gauge theories and perturbative gravity in four dimensions are governed by a tower of infinite-dimensional symmetries which arise from tree-level soft theorems. However, aside from the leading soft theorems which are all-loop exact,…

High Energy Physics - Theory · Physics 2024-12-24 Sangmin Choi , Alok Laddha , Andrea Puhm

Slow-roll inflation generically makes several predictions: a flat Universe, primordial adiabatic density perturbations, and a stochastic gravity-wave background. Each inflation model will further predict specific relations between the…

Astrophysics · Physics 2007-05-23 Marc Kamionkowski

Inflationary homogeneous isotropic cosmological models filled by scalar fields and ultrarelativistic matter are examined in the framework of gauge theories of gravitation. By using quadratic scalar field potential numerical analysis of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Minkevich , A. S. Garkun
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