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We explore a family of generalised scalar-tensor theories that exhibit self-tuning to low scale anti de Sitter vacua, even in the presence of a large cosmological constant. We are able to examine the linearised fluctuations about these…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Edmund J. Copeland , Sukhraj Ghataore , Florian Niedermann , Antonio Padilla

We discuss the linearization of Einstein equations in the presence of a cosmological constant, by expanding the solution for the metric around a flat Minkowski space-time. We demonstrate that one can find consistent solutions to the…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Jose Bernabeu , Catalina Espinoza , Nick E. Mavromatos

We discuss quantum inequalities for minimally coupled scalar fields in static spacetimes. These are inequalities which place limits on the magnitude and duration of negative energy densities. We derive a general expression for the quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Michael J. Pfenning , L. H. Ford

Static, cylindrically symmetric solutions to nonlinear scalar-Einstein equations are considered. Regularity conditions on the symmetry axis and flat or string asymptotic conditions are formulated in order to select soliton-like solutions.…

General Relativity and Quantum Cosmology · Physics 2011-08-11 K. A. Bronnikov , G. N. Shikin

There has been a proposal that infrared quantum effects of massless interacting field theories in de-Sitter space may provide time-dependent screening of the cosmological constant. As a concrete model of the proposal, we study the three…

High Energy Physics - Theory · Physics 2016-06-21 Takeo Inami , Yoji Koyama , Yu Nakayama , Mariko Suzuki

We consider a quantum scalar field with {\lambda}{\phi}^4 interaction in curved spacetimes. The quantum effects are taken into account nonperturbatively using the Hartree approximation to the 2PI effective action. Although this…

High Energy Physics - Theory · Physics 2014-01-15 Diana L. López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

We present a modified gravity framework where the vacuum is modeled as a Higgs-type scalar field $\chi$ undergoing spontaneous symmetry breaking. By introducing a coupling $Q^\nu = \alpha T \nabla^\nu \chi$, we formalize a displacement…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Rodrigo Maier

In the context of Horndeski cosmologies, we consider a dynamical adjustment mechanism able to screen any value of the vacuum energy of the matter fields leading to a fixed de Sitter geometry. Thus, we present the most general scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2015-09-22 Prado Martin-Moruno , Nelson J. Nunes , Francisco S. N. Lobo

In the context of the Fab-Four theory of gravity in a Friedmann-Lema\^itre-Robertson-Walker background, in this work we use the cosmography approach to study a particular self-tuning filter solution focused on a zero-curvature fixed point…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Celia Escamilla-Rivera , José María de Albornoz-Caratozzolo , Sebastián Nájera

We present self-similar cosmological solutions for a barotropic fluid plus scalar field with Brans-Dicke-type coupling to the spacetime curvature and an arbitrary power-law potential energy. We identify all the fixed points in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Damien J. Holden , David Wands

Recently the global variation of the Planck mass in the General Relativistic Einstein-Hilbert action was proposed as a self-tuning mechanism of the cosmological constant preventing vacuum energy from freely gravitating. We show that this…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Daniel Sobral-Blanco , Lucas Lombriser

We investigate the details of the canonical quantization of effective quantum field theories in anti-de Sitter spacetime, emphasizing the stability of the quantum vacuum. We take the scalar and Maxwell fields as examples. For the…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Shi-Yuan Li , Chengwu Liu

Starting from the equation of motion of the quantum operator of a real scalar field phi in de Sitter space-time, a simple differential equation is derived which describes the evolution of quantum fluctuations <phi^2> of this field. Full de…

High Energy Physics - Theory · Physics 2009-11-11 Alexander Dolgov , Diego N. Pelliccia

In the mathematically rigorous analysis of semiclassical Einstein's equations, the renormalisation of the stress-energy tensor plays a crucial role. We address such a topic in the case of a scalar field with both arbitrary mass and coupling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Claudio Dappiaggi , Klaus Fredenhagen , Nicola Pinamonti

We consider an infrared truncated massive minimally coupled scalar field with an asymmetric self-interaction $\frac{m^2}{2}\varphi^2\!+\!\frac{\lambda\varphi^4}{4!}\!+\!\frac{\beta\varphi^3}{3!}(\lambda\!>\!0)$ during a cosmological…

General Relativity and Quantum Cosmology · Physics 2025-09-30 G. Karakaya

We consider self tuning solutions for a brane embedded in an anti de Sitter spacetime. We include the higher derivative Gauss-Bonnet terms in the action and study singularity free solutions with finite effective Newton's constant. Using the…

High Energy Physics - Theory · Physics 2009-11-07 Samik Dasgupta , Rajesh Venkatachalapathy , S. Kalyana Rama

We present a class of exact scalar-tensor black holes for a shift-symmetric part of the Horndeski action. The action includes a higher order scalar tensor interaction term. We find that for a static and spherically symmetric space-time, the…

General Relativity and Quantum Cosmology · Physics 2014-09-11 Eugeny Babichev , Christos Charmousis

We study the cosmological evolution of the field equations in the context of Einstein-Aether cosmology by including a scalar field in a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker spacetime. Our analysis is separated into two…

General Relativity and Quantum Cosmology · Physics 2020-01-17 Andronikos Paliathanasis , G. Papagiannopoulos , Spyros Basilakos , John D. Barrow

We exploit a recent computation of one graviton loop corrections to the self-mass [1] to quantum-correct the field equation for a massless, conformally coupled scalar on a de Sitter background. With the obvious choice for the finite part of…

General Relativity and Quantum Cosmology · Physics 2021-06-02 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

Recent numerical simulations have found that the Cauchy horizon inside spherical charged black holes, when perturbed nonlinearly by a self-gravitating, minimally-coupled, massless, spherically-symmetric scalar field, turns into a null weak…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lior M. Burko