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The energy in the ghost-free massive gravity theory is calculated via explicitly resolving the initial value constraints for spherically symmetric deformations of flat space. It turns out that the energy is positive in some cases, but in…

High Energy Physics - Theory · Physics 2014-09-25 Mikhail S. Volkov

In this paper, we investigate three important issues: stability, ghost and strong coupling, in the Horava-Melby-Thompson setup of the Horava-Lifshitz theory with $\lambda \not= 1$, generalized recently by da Silva. We first develop the…

High Energy Physics - Theory · Physics 2011-05-13 Yongqing Huang , Anzhong Wang

We discuss the Minkowski stability problem in modified gravity by using dynamical system approach. The method to investigate dynamical stability of Minkowski space was proposed. This method was applied for some modified gravity theories,…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Petr V. Tretyakov

We present a thorough stability analysis of modified gravity theories in the presence of matter fields. We use the Effective Field Theory framework for Dark Energy and Modified Gravity to retain a general approach for the gravity sector and…

General Relativity and Quantum Cosmology · Physics 2017-03-14 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

Ghost fields have reemerged in a handful of phenomenologically motivated cosmological and particle physics scenarios, and most recently in a cyclic mechanism to address the fine-tuning of gauge couplings in the standard model. We study the…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Stephon Alexander , Sam Cormack , David Lowe , Robert Sims

We investigate the classical stability of two coupled scalar fields with opposite-sign kinetic terms evolving in 1+1 dimensional Minkowski spacetime. In the first part, we characterise unquenched ghostly interactions and present numerical…

High Energy Physics - Theory · Physics 2025-04-16 Cédric Deffayet , Aaron Held , Shinji Mukohyama , Alexander Vikman

We present a new understanding of the unstable ghost-like resonance which appears in theories such as quadratic gravity and Lee-Wick type theories. Quantum corrections make this resonance unstable, such that it does not appear in the…

High Energy Physics - Theory · Physics 2019-11-20 John F. Donoghue , Gabriel Menezes

We explore the nonlinear dynamics of classical field theories containing ghost degrees of freedom, focusing on two coupled scalar fields with opposite kinetic terms in (1+1) and (2+1) dimensional Minkowski spacetime. Using a spacetime…

Dynamical Systems · Mathematics 2026-05-13 Jax Wysong , Samara Overvaag , Hyun Lim , Jung-Han Kimn

Linear stability of brane induced gravity in two codimensions on a static pure tension background is investigated. The brane is regularized as a ring of finite circumference in extra space. By explicitly calculating the vacuum persistence…

General Relativity and Quantum Cosmology · Physics 2015-12-14 Ludwig Eglseer , Florian Niedermann , Robert Schneider

We study the degrees of freedom in New General Relativity -- flat and metric compatible family of theories -- around the Minkowski background in a gauge invariant manner. First, we confirm the decoupling case, in which the theory reduces to…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Sebastian Bahamonde , Daniel Blixt , Konstantinos F. Dialektopoulos , Anamaria Hell

We consider the asymptotic-safety scenario for quantum gravity which constructs a non-perturbatively renormalisable quantum gravity theory with the help of the functional renormalisation group. We verify the existence of a non-Gaussian…

High Energy Physics - Theory · Physics 2009-11-10 Astrid Eichhorn , Holger Gies , Michael M. Scherer

We study the metric perturbations around the de Sitter and Minkowski backgrounds in Conformal Gravity. We confirm the presence of ghosts in both cases. In the de Sitter case, by applying the Maldacena boundary conditions - the Neumann…

High Energy Physics - Theory · Physics 2023-08-30 Anamaria Hell , Dieter Lust , George Zoupanos

We study the compactification of higher-dimensional Lovelock gravity on compact irreducible symmetric spaces, focusing on conditions under which a physically healthy four-dimensional Minkowski vacuum exists. We show that when the internal…

High Energy Physics - Theory · Physics 2026-01-15 Keisuke Ohashi

We review some of the recent results which can be useful for better understanding of the problem of stability of vacuum and in general classical solutions in higher derivative quantum gravity. The fourth derivative terms in the purely…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Filipe de O. Salles , Ilya L. Shapiro

For a large region of parameter space involving the cosmological constant and mass parameters, we discuss fluctuating spacetime solutions that are effectively Minkowskian on large time and distance scales. Rapid, small amplitude…

High Energy Physics - Theory · Physics 2009-11-10 T. Hirayama , B. Holdom

We study the cosmology of bimetric theory with a composite matter coupling. We find two possible branches of background evolution. We investigate the question of stability of cosmological perturbations. For the tensor and vector…

High Energy Physics - Theory · Physics 2015-06-23 A. Emir Gumrukcuoglu , Lavinia Heisenberg , Shinji Mukohyama , Norihiro Tanahashi

We investigate the stability against inhomogeneous perturbations and the appearance of ghost modes in Gauss-Bonnet gravitational theories with a non-minimally coupled scalar field, which can be regarded as either the dilaton or a…

High Energy Physics - Theory · Physics 2008-11-26 Gianluca Calcagni , Beatriz de Carlos , Antonio De Felice

We study gravity coupled to a cosmological constant and a scale but not conformally invariant sector. In Minkowski vacuum, scale invariance is spontaneously broken. We consider small fluctuations around the Minkowski vacuum. At the…

High Energy Physics - Theory · Physics 2016-06-22 Stefan Forste , Paul Manz

Motivated by Weinberg's asymptotic safety scenario, we investigate the gravitational renormalization group flow in the Einstein-Hilbert truncation supplemented by the wave-function renormalization of the ghost fields. The latter induces…

High Energy Physics - Theory · Physics 2014-11-20 Kai Groh , Frank Saueressig

We revisit the framework of Newer General Relativity, defined by all independent quadratic invariants of the non-metricity tensor, including the unique quadratic parity-violating term. We analyze linear perturbations around a flat FLRW…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Alexander Ganz , Marco Spinelli
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