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Our paper introduces a new theoretical framework called the Fractional Einstein--Gauss--Bonnet scalar field cosmology, which has important physical implications. Using fractional calculus to modify the gravitational action integral, we…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-12 Bayron Micolta-Riascos , Alfredo D. Millano , Genly Leon , Byron Droguett , Esteban González , Juan Magaña

Gauss-Bonnet holographic fluid is a useful theoretical laboratory to study the effects of curvature-squared terms in the dual gravity action on transport coefficients, quasinormal spectra and the analytic structure of thermal correlators at…

High Energy Physics - Theory · Physics 2017-04-04 Sašo Grozdanov , Andrei O. Starinets

We present the cosmological analysis of the Gauss-Bonnet quasi-dilaton massive gravity theory. This offers a gravitational theory with a non-zero graviton mass. We calculate the complete set of background equations of motion. Also, we…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Amin Rezaei Akbarieh , Sobhan Kazempour , Lijing Shao

We propose a procedure for the $D\rightarrow 4$ limit of Einstein-Gauss-Bonnet (EGB) gravity that leads to a well defined action principle in four dimensions. Our construction is based on compactifying $D$-dimensional EGB gravity on a…

General Relativity and Quantum Cosmology · Physics 2020-09-03 H. Lu , Yi Pang

We investigate the initial-boundary value problem for linearized gravitational theory in harmonic coordinates. Rigorous techniques for hyperbolic systems are applied to establish well-posedness for various reductions of the system into a…

General Relativity and Quantum Cosmology · Physics 2011-04-21 Bela Szilagyi , Bernd Schmidt , Jeffrey Winicour

There has recently been an increasing interest in regularizations of Lovelock-Lanczos gravity (LLG) in four dimensions, in which dimensional poles and possibly counter-terms are introduced to compensate the vanishing of the Lovelock field…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Aimeric Colléaux

On the path towards quantum gravity, we find friction between temporal relations in quantum mechanics (QM) (where they are fixed and field-independent), and in general relativity (where they are field-dependent and dynamic). This paper aims…

General Relativity and Quantum Cosmology · Physics 2017-11-28 Henrique Gomes

The detection of gravitational waves has offered us the opportunity to explore the dynamical and strong-field regime of gravity. Because matched filtering is more sensitive to variations in the gravitational waveform phase than the…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Shammi Tahura , Kent Yagi , Zack Carson

We undertake a general study of the boundary (or edge) modes that arise in gauge and gravitational theories defined on a space with boundary, either asymptotic or at finite distance, focusing on efficient techniques for computing the…

High Energy Physics - Theory · Physics 2023-05-17 Seolhwa Kim , Per Kraus , Richard M. Myers

We introduce several new notions of (sectional) curvature bounds for Lorentzian pre-length spaces: On the one hand, we provide convexity/concavity conditions for the (modified) time separation function, and, on the other hand, we study…

Differential Geometry · Mathematics 2026-01-14 Tobias Beran , Michael Kunzinger , Felix Rott

We draw attention to a novel type of geometric gauge invariance relating the autoparallel equations of motion in different Riemann-Cartan spacetimes with each other. The novelty lies in the fact that the equations of motion are invariant…

General Relativity and Quantum Cosmology · Physics 2011-03-17 H. Kleinert , A. Pelster

In the probe limit, we study the holographic $p$-wave phase transition in the Gauss-Bonnet gravity via numerical and analytical methods. Concretely, we study the influences of the external magnetic field on the Maxwell complex vector model…

High Energy Physics - Theory · Physics 2014-07-09 Ya-Bo Wu , Jun-Wang Lu , Yong-Yi Jin , Jian-Bo Lu , Xue Zhang , Si-Yu Wu , Cui Wang

The consideration of a 1 + 3 covariant approach to cold dark matter universe with no shear cosmological dust model with irrotational flows is developed in the context of f (G) gravity theory in the present study. This approach reveals the…

General Relativity and Quantum Cosmology · Physics 2023-05-19 Albert Munyeshyaka , Joseph Ntahompagaze , Tom Mutabazi , Manasse. R Mbonye

The Einstein theory of general relativity provides a peculiar example of classical field theory ruled by non-linear partial differential equations. A number of supplementary conditions (more frequently called gauge conditions) have also…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Giampiero Esposito , Cosimo Stornaiolo

We present a method for approximating the solution of the three-dimensional, time-dependent Gross-Pitaevskii equation (GPE) for Bose-Einstein condensate systems where the confinement in one dimension is much tighter than in the other two.…

Quantum Gases · Physics 2015-06-11 Mark Edwards , Michael Krygier , Hadayat Seddiqi , Brandon Benton , Charles W. Clark

We formulate Positivity Bounds for scattering amplitudes including exchange of massless particles. We generalize the standard construction through dispersion relations to include the presence of a branch cut along the real axis in the…

High Energy Physics - Theory · Physics 2021-12-08 Mario Herrero-Valea , Raquel Santos-Garcia , Anna Tokareva

In this letter we study the behavior of non-minimally coupled Einstein-Gauss-Bonnet gravity theories with the constant-roll condition. Recalling the results of the striking GW170817 event, we demand that the velocity of the gravitational…

General Relativity and Quantum Cosmology · Physics 2020-11-10 V. K. Oikonomou , F. P. Fronimos

We examine the nonperturbative effect of maximum momentum on the relativistic wave equations. In momentum representation, we obtain the exact eigen-energies and wavefunctions of one-dimensional Klein-Gordon and Dirac equation with linear…

High Energy Physics - Theory · Physics 2015-06-17 Chee Leong Ching , Wei Khim Ng

A review of the path integral approach to quantum cosmology and its relation to canonical quantisation. The initial derivation of the Hartle-Hawking and Vilenkin wavefunctions from the Euclidean Einstein-Hilbert action, and later, from the…

General Relativity and Quantum Cosmology · Physics 2022-10-14 Raymond Isichei

The N-body gauge allows the introduction of relativistic effects in Newtonian cosmological simulations. Here we extend this framework to general Horndeski gravity theories, and investigate the relativistic effects that the scalar field…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-22 Guilherme Brando , Kazuya Koyama , David Wands , Miguel Zumalacárregui , Ignacy Sawicki , Emilio Bellini