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We present a general formalism for the Hamiltonian description of perturbation theory around any spatially homogeneous spacetime. We employ and refine the Dirac method for constrained systems, which is very well-suited to cosmological…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Alice Boldrin

Cosmological perturbation theory is an example of a gauge theory, where gauge transformations correspond to changes in the space-time coordinate system. To determine physical quantities, one is free to introduce gauge conditions (\ie to…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Danilo Artigas , Julien Grain , Vincent Vennin

We show that dissipative effects during cosmological first order phase transitions lead to a frequency-dependent suppression for the usually dominant gravitational wave production from sound waves, through an analytical modelling of the…

High Energy Physics - Phenomenology · Physics 2023-10-18 Huai-Ke Guo

This paper discusses the gauge issue touching the gravitational waves induced at the second order by the scalar modes of cosmological perturbations. These waves are known to depend on the gauge used for their calculation. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2023-09-27 Vincent Comeau

Second-order tensor perturbations induced by primordial fluctuations play a crucial role in probing small-scale physics, but gauge dependence of their energy density has remained a fundamental challenge in cosmological perturbation theory.…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-10 Chen Yuan , Yizhou Lu , Zu-Cheng Chen , Lang Liu

It is currently believed that the Standard Model is an effective low energy theory which in principle may contain higher dimensional non-renormalizable operators. These operators may modify the standard model Higgs potential in many ways,…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-01 Eric Greenwood , Pascal M. Vaudrevange

First order phase transitions in the early universe can give rise to a stochastic background of gravitational waves. A hypothetical first order electroweak phase transition is particularly interesting in this respect, since the signal is in…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Chiara Caprini

The theory of cosmological perturbations is a well elaborated field. To deal with the diffeomorphism invariance of general relativity one generally introduces combinations of the metric and matter perturbations which are gauge invariant up…

General Relativity and Quantum Cosmology · Physics 2018-05-31 Kristina Giesel , Adrian Herzog

The ``close limit,'' a method based on perturbations of Schwarzschild spacetime, has proved to be a very useful tool for finding approximate solutions to models of black hole collisions. Calculations carried out with second order…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Garat , R. H. Price

Modeling the propagation of gravitational waves (GWs) through matter is complicated by the gauge freedom of linearized gravity in that once nonlinearities are taken into consideration, gauge artifacts can cause spurious acceleration of the…

General Relativity and Quantum Cosmology · Physics 2024-02-28 Deepen Garg , I. Y. Dodin

Employing alternative spacetime volume-forms (generally-covariant integration measure densities) independent of the pertinent Riemannian spacetime metric have profound impact in general relativity. Although formally appearing as…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

In the present thesis, the author reviews the physics of cosmological first-order phase transitions that may have occured shortly after the Big Bang. Such transitions proceed via the nucleation and expansion of true vacuum bubbles and give…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-16 Moritz Breitbach

We investigate the cosmological phase transition dynamics in a supersymmetric left-right symmetric model based on the gauge group $SU(3)_C \times SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ that addresses the strong CP problem through…

High Energy Physics - Phenomenology · Physics 2025-10-21 Naoyuki Haba , Yasuhiro Shimizu , Toshifumi Yamada

The issue of the gauge invariance of gravitational waves arises if they are produced in the early universe at second-order in perturbation theory. We address it by dividing the discussion about the gauge invariance in three parts: the…

General Relativity and Quantum Cosmology · Physics 2020-03-18 V. De Luca , G. Franciolini , A. Kehagias , A. Riotto

Loop quantum cosmology is a symmetry reduced quantization of cosmological spacetimes based on loop quantum gravity. While it has been successful in resolution of various cosmological singularities and connecting Planck scale physics to…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Klaus Liegener , Parampreet Singh

We investigate the scalar sector of linear cosmological perturbations in quadratic gravity. Working in the Einstein frame, we derive the equations of motion in a gauge-independent manner and express them in terms of three sets of…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Adrian Palomares , Ying-li Zhang , Jinsu Kim

We develop a tool for the analysis of stochastic gravitational wave backgrounds from cosmological first-order phase transitions with LISA: we initiate a template databank for these signals, prototype their searches, and forecast their…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-07 Chiara Caprini , Ryusuke Jinno , Marek Lewicki , Eric Madge , Marco Merchand , Germano Nardini , Mauro Pieroni , Alberto Roper Pol , Ville Vaskonen

A consistent implementation of quantum gravity is expected to change the familiar notions of space, time and the propagation of matter in drastic ways. This will have consequences on very small scales, but also gives rise to correction…

General Relativity and Quantum Cosmology · Physics 2009-08-26 Martin Bojowald , Golam Mortuza Hossain , Mikhail Kagan , S. Shankaranarayanan

Motivated by the recent evidence of a stochastic gravitational wave background found by pulsar timing array experiments, we focus on one of the prime cosmological explanations, i.e. a supercooled first order phase transition. If confirmed,…

High Energy Physics - Phenomenology · Physics 2026-02-04 S. Pascoli , S. Rosauro-Alcaraz , M. Zandi

A gauge-invariant framework for computing bubble nucleation rates at finite temperature in the presence of radiative barriers was presented and advocated for model-building and phenomenological studies in an accompanying article…

High Energy Physics - Phenomenology · Physics 2022-08-10 Joonas Hirvonen , Johan Löfgren , Michael J. Ramsey-Musolf , Philipp Schicho , Tuomas V. I. Tenkanen