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We present a suggestion on the interpretation of canonical time evolution when gravitation is present, based on the nonlinear gauge approach to gravity. Essentially, our proposal consists of an internal-time concept, with the time variable…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Antonio Pulido , Alfredo Tiemblo , Romualdo Tresguerres

We consider properties of the gravitational path integral, ${Z}_{\text{grav}}$, of a four-dimensional gravitational effective field theory with $\Lambda>0$ at the quantum level. To leading order, ${Z}_{\text{grav}}$ is dominated by a…

High Energy Physics - Theory · Physics 2025-10-03 Dionysios Anninos , Chiara Baracco , Samuel Brian , Frederik Denef

We investigate continuous Hawking-Page transitions in Einstein's gravity coupled to a scalar field with an arbitrary potential in the weak gravity limit. We show that this is only possible in a singular limit where the black-hole horizon…

High Energy Physics - Theory · Physics 2011-01-25 Umut Gursoy

We perform a thorough study of the theoretical consistency of recently proposed, viable, quadratic modifications of gravity that are functions of the the Gauss-Bonnet invariant, regarding the stability of their perturbations around vacuum,…

General Relativity and Quantum Cosmology · Physics 2010-05-27 Israel Quiros , Eduardo Teste

We obtain the full 5D graviton propagator in the Randall-Sundrum model with the Gauss-Bonnet interaction. From the decomposition of the graviton propagator on the brane, we show that localization of gravity arises in the presence of the…

High Energy Physics - Theory · Physics 2009-10-31 Jihn E. Kim , Hyun Min Lee

The impact of topological terms that modify the Hilbert-Einstein action is here explored by virtue of a further $f(G)$ contribution. In particular, we investigate the phase-space stability and critical points of an equivalent scalar field…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Giannis Papagiannopoulos , Orlando Luongo , Genly Leon , Andronikos Paliathanasis

We attempt to clarify several aspects concerning the recently presented four-dimensional Einstein-Gauss-Bonnet gravity. We argue that the limiting procedure outlined in [Phys. Rev. Lett. 124, 081301 (2020)] generally involves ill-defined…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Julio Arrechea , Adrià Delhom , Alejandro Jiménez-Cano

We study Lorentzian vacuum transition probabilities between two minima of a scalar field potential within the framework of $f(R)$ gravity. The analysis extends the previously considered WKB expansion of the Wheeler-DeWitt equation to…

General Relativity and Quantum Cosmology · Physics 2026-02-27 H. García-Compeán , J. Hernández-Aguilar , D. Mata-Pacheco , C. Ramírez

We consider a novel Bounce Universe model constructed within the framework of Horndeski gravity. We have analyzed the bispectrum of primordial scalar perturbations and evaluated the corresponding non-Gaussianities for this specific model.…

High Energy Physics - Theory · Physics 2025-08-26 Y. Ageeva , M. Kotenko , P. Petrov

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

High Energy Physics - Theory · Physics 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

We analyse a variety of Euclidean saddles in the gravitational path integral, with asymptotic AdS boundary conditions, in a class of Einstein-Scalar-Maxwell models. These include single boundary solutions, usual and wineglass wormholes, as…

High Energy Physics - Theory · Physics 2026-04-21 Panos Betzios , Paul Ghiringhelli , Ioannis D. Gialamas , Olga Papadoulaki

We consider four-dimensional general relativity with a negative cosmological constant in the presence of a finite size boundary, $\Gamma$, for both Euclidean and Lorentzian signature. As our boundary condition, we consider the `conformal'…

High Energy Physics - Theory · Physics 2025-08-14 Dionysios Anninos , Raúl Arias , Damián A. Galante , Chawakorn Maneerat

I review the formalism of loop quantum gravity, in both its real and complex formulations, and spin foam theory which is its path integral counterpart. Spin networks for non-compact groups are introduced (following hep-th/0205268) to deal…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Etera R. Livine

This paper studies the linearized gravitational field in the presence of boundaries. For this purpose, $\zeta$-function regularization is used to perform the mode-by-mode evaluation of BRST-invariant Faddeev-Popov amplitudes in the case of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 G. Esposito , A. Yu. Kamenshchik , I. V. Mishakov , G. Pollifrone

We study a theory of gravity of the form $f(\mathcal{G})$ where $\mathcal{G}$ is the Gauss-Bonnet topological invariant without considering the standard Einstein-Hilbert term as common in the literature, in arbitrary $(d+1)$ dimensions. The…

General Relativity and Quantum Cosmology · Physics 2020-01-30 Francesco Bajardi , Konstantinos F. Dialektopoulos , Salvatore Capozziello

We analyze the stability of the Einstein static universe by considering homogeneous perturbations in the context of f(G) modified Gauss-Bonnet theories of gravity. By considering a generic form of f(G), the stability region of the Einstein…

General Relativity and Quantum Cosmology · Physics 2009-03-30 Christian G. Boehmer , Francisco S. N. Lobo

One of the leading ideas for the beginning of the Universe is the Hartle-Hawking `No-Boundary Proposal.' Since the Cobordism Conjecture claims that any spacetime allows for a dynamical boundary, we suggest that one may equally well consider…

High Energy Physics - Theory · Physics 2025-12-01 Bjoern Hassfeld , Arthur Hebecker

In this study, we explore the dynamics of the universe using a modified gravity model represented by $f(R, G, T)$, where $R$ is the Ricci scalar, $G$ is the Gauss-Bonnet invariant, and $T$ is the trace of the stress-energy tensor. The model…

General Relativity and Quantum Cosmology · Physics 2025-03-27 Farzad Milani

The Wheeler-DeWitt equation for the induced gravity theory is constructed in the minisuperspace approximation, and then solved using the WKB method under three types of boundary condition proposed respectively by Hartle & Hawking (``no…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zong-Hong Zhu , Li Cao

On a Riemannian manifold, lower Ricci curvature bounds are known to be characterized by geodesic convexity properties of various entropies with respect to the Kantorovich-Rubinstein-Wasserstein square distance from optimal transportation.…

Mathematical Physics · Physics 2023-09-26 Robert J McCann
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