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We consider a massive vector field with derivative interactions that propagates only the 3 desired polarizations (besides two tensor polarizations from gravity) with second-order equations of motion in curved space-time. The cosmological…

General Relativity and Quantum Cosmology · Physics 2016-07-05 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Mukohyama , Shinji Tsujikawa , Ying-li Zhang

Complex mass poles, or ghost poles, are present in the Hartree-Fock solution of the Schwinger-Dyson equation for the nucleon propagator in renormalizable models with Yukawa-type meson-nucleon couplings, as shown many years ago by Brown,…

Nuclear Theory · Physics 2009-10-30 C. A. da Rocha , G. Krein , L. Wilets

Four-dimensional Einstein gravity in the Palatini first order formalism is shown to possess a vector supersymmetry of the same type as found in the topological theories for Yang-Mills fields. A peculiar feature of the gravitational theory,…

High Energy Physics - Theory · Physics 2009-10-31 Olivier Piguet

We discuss the presence of ghostly instabilities for metric-affine theories constructed with higher order curvature terms. We mainly focus on theories containing only the Ricci tensor and show the crucial role played by the projective…

General Relativity and Quantum Cosmology · Physics 2021-04-23 Jose Beltrán Jiménez , Adrià Delhom

We demonstrate that black holes and stars in general relativity can be destabilized by perturbations of non-minimally coupled vector fields. Focusing on static and spherically symmetric backgrounds, our analysis shows that black holes with…

General Relativity and Quantum Cosmology · Physics 2021-10-18 Sebastian Garcia-Saenz , Aaron Held , Jun Zhang

We discuss small perturbations on the self-accelerated solution of the DGP model, and argue that claims of instability of the solution that are based on linearized calculations are unwarranted because of the following: (1) Small…

High Energy Physics - Theory · Physics 2009-11-11 Cedric Deffayet , Gregory Gabadadze , Alberto Iglesias

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

The cosmological constant problem and the compatibility of gravity with quantum mechanics are the two most pressing problems in all of gravitational theory. While string theory nicely addresses the latter, it has so far failed to provide…

High Energy Physics - Theory · Physics 2007-07-17 Philip D. Mannheim

We investigate the stability and gravitational waves (GWs) in the four-dimensional general Einstein-vector theory in a cosmological background. The theory accommodates up to six propagating degrees of freedom, comprising two tensor, two…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Xiao-Bin Lai , Yu-Zhi Fan , Yu-Qi Dong , Yu-Xiao Liu

A vector curvaton model with a Maxwell kinetic term and varying kinetic function and mass during inflation is studied. It is shown that, if light until the end of inflation, the vector field can generate statistical anisotropy in the…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-21 Konstantinos Dimopoulos , Mindaugas Karciauskas , Jacques M. Wagstaff

Models of inflation with antisymmetric tensor studied in the past are plagued with ghost instability even in an unperturbed FRW background. We show that it is possible to avoid ghosts in an unperturbed FRW background by considering the most…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Sandeep Aashish , Abhilash Padhy , Sukanta Panda

It has been suggested that a scalar field with negative kinetic energy, or ``ghost,'' could be the source of the observed late-time cosmological acceleration. Naively, such theories should be ruled out by the catastrophic quantum…

High Energy Physics - Phenomenology · Physics 2009-11-10 James M. Cline , Sangyong Jeon , Guy D. Moore

In a subclass of scalar-tensor theories, it has been shown that standard general relativity solutions of neutron stars and black holes with trivial scalar field profiles are unstable. Such an instability leads to solutions which are…

General Relativity and Quantum Cosmology · Physics 2019-07-01 Timothy Anson , Eugeny Babichev , Christos Charmousis , Sabir Ramazanov

We show a new class of interaction terms with higher derivatives that can be added to every low derivative real scalar, such that the theory is degenerate, and the equation of motion remains of second order. In contrast to previous setups,…

High Energy Physics - Theory · Physics 2021-03-22 Justo Lopez-Sarrion , Mauricio Valencia-Villegas

We study relevant cosmological topics in the framework of a certain vector-tensor theory of gravitation (hereafter VT). This theory is first compared with the so-called extended electromagnetism (EE). These theories have a notable…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-03 Roberto Dale , Diego Sáez

We analyse cosmological perturbations around a homogeneous and isotropic background for scalar-tensor, vector-tensor and bimetric theories of gravity. Building on previous results, we propose a unified view of the effective parameters of…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Macarena Lagos , Emilio Bellini , Johannes Noller , Pedro G. Ferreira , Tessa Baker

We review the interpretation of gauge invariance as a mathematical redundancy required in a relativistic description of forces mediated by massless spin-1 and spin-2 particles. In this context we also review the Weinberg-Witten theorem and…

High Energy Physics - Theory · Physics 2007-05-23 Alejandro Jenkins

One of the greatest problems of standard cosmology is the Big Bang singularity. Previously it has been shown that non-local ghostfree higher-derivative modifications of Einstein gravity in the ultra-violet regime can admit non-singular…

High Energy Physics - Theory · Physics 2010-12-03 Tirthabir Biswas , Tomi Koivisto , Anupam Mazumdar

We study a universe filled with dust-like matter in the form of discrete inhomogeneities (e.g., galaxies and their groups and clusters) and two sets of perfect fluids with linear and nonlinear equations of state, respectively. The…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Maxim Eingorn , Claus Kiefer , Alexander Zhuk

We study the Horndeski vector-tensor theory that leads to second order equations of motion and contains a non-minimally coupled abelian gauge vector field. This theory is remarkably simple and consists of only 2 terms for the vector field,…

High Energy Physics - Theory · Physics 2013-11-18 Jose Beltrán Jiménez , Ruth Durrer , Lavinia Heisenberg , Mikjel Thorsrud