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This work presents a new class of exact analytic rotating black hole solutions within five-dimensional generalized Proca theories. Through a Kerr-Schild ansatz where the Proca field is set along a null geodesic congruence, the non-linear…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Mokhtar Hassaine , Ulises Hernandez-Vera

The Standard Model of particle physics predicts the speed of light to be a universal speed of propagation of massless carriers. However, other possibilities exist -- including Lorentz-violating theories -- where different fundamental fields…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Vitor Cardoso , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi

We discuss a general method to study linear perturbations of slowly rotating black holes which is valid for any perturbation field, and particularly advantageous when the field equations are not separable. As an illustration of the method…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Paolo Pani , Vitor Cardoso , Leonardo Gualtieri , Emanuele Berti , Akihiro Ishibashi

We study the perturbations to General Relativistic black holes (i.e. those without scalar hair) in Horndeski scalar-tensor gravity. First, we derive the equations of odd and even parity perturbations of both the metric and scalar field in…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Oliver J. Tattersall , Pedro G. Ferreira

Extended metric-Palatini gravity, quadratic in the antisymmetric part of the affine curvature, is known to lead to the general relativity plus a geometric Proca field. The geometric Proca, equivalent of the non-metricity vector in the…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Elham Ghorani , Beyhan Puliçe , Farruh Atamurotov , Javlon Rayimbaev , Ahmadjon Abdujabbarov , Durmuş Demir

The Generalized Uncertainty Principle suggests corrections to the Uncertainty Principle as the energy increases towards the Planck value. It provides a natural transition between the expressions for the Compton wavelength below the Planck…

General Relativity and Quantum Cosmology · Physics 2011-07-05 Bernard Carr , Leonardo Modesto , Isabeau Prémont-Schwarz

We study the linear stability of black holes in Maxwell-Horndeski theories where a $U(1)$ gauge-invariant vector field is coupled to a scalar field with the Lagrangian of full Horndeski theories. The perturbations on a static and…

General Relativity and Quantum Cosmology · Physics 2023-05-25 Ryotaro Kase , Shinji Tsujikawa

Generalised Proca theories of gravity represent an interesting class of vector-tensor theories where only three propagating degrees of freedom are present. In this work, we propose a new teleparallel gravity analog to Proca theories where…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Gianbattista-Piero Nicosia , Jackson Levi Said , Viktor Gakis

We model a single black hole in equilibrium with a dark photon-cold dark matter environment. Representing the dark photon as a Proca field, we show that a Schwarzschild black hole grows vector-field "hair" when allowed to accrete from an…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Fredric Hancock , Helvi Witek

The existence of black holes is a central prediction of general relativity and thus serves as a basic consistency test for modified theories of gravity. In spherical symmetry, only two classes of dynamic solutions are compatible with the…

General Relativity and Quantum Cosmology · Physics 2022-03-01 Sebastian Murk

Generalized Proca Theories are the most general higher-derivative extensions of a massive vector field that retain second-order equations of motion. They are phenomenologically interesting as models of dynamical dark energy that, unlike…

High Energy Physics - Theory · Physics 2026-01-30 Lavinia Heisenberg , Alessia Platania , Sara Rufrano Aliberti

The Generalized SU(2) Proca theory is a vector-tensor theory of gravity whose action is invariant under global transformations of the SU(2) group and includes second-order derivative self-interactions of the vector field beyond the massive…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Gabriel Gomez , Jose F. Rodriguez

Infinite towers of higher-order corrections to General Relativity have been proposed as a mechanism to resolve singularities in early-universe cosmology and black holes, in a variety of settings. In this work, we consider an infinite tower…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Pedro G. S. Fernandes , Jingqian Gou , Lavinia Heisenberg , Nadine Nussbaumer

The scalar-vector-tensor theories with second-order equations of motion can accommodate both Horndeski and generalized Proca theories as specific cases. In the presence of a perfect fluid, we study the cosmology in such a most general…

General Relativity and Quantum Cosmology · Physics 2018-11-20 Ryotaro Kase , Shinji Tsujikawa

We study the stability of static black holes in generalized Einstein-Maxwell-scalar theories. We derive the master equations for the odd and even parity perturbations. The sufficient and necessary conditions for the stability of black holes…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Radouane Gannouji , Yolbeiker Rodríguez Baez

Explaining the late time acceleration is one of the most challenging tasks for theoretical physicists today. Infra-red modification of Einstein's general theory of relativity (GR) is a possible route to model late time acceleration. In this…

General Relativity and Quantum Cosmology · Physics 2020-05-08 Mostafizur Rahman , Anjan A. Sen

While cubic Quasi-topological gravity is unique, there is a family of quartic Quasi-topological gravities in five dimensions. These theories are defined by leading to a first order equation on spherically symmetric spacetimes, resembling…

High Energy Physics - Theory · Physics 2021-03-10 Octavio Fierro , Nicolas Mora , Julio Oliva

A new version of nonsymmetric gravitational theory is presented. The field equations are expanded about the Minkowski metric, giving in lowest order the linear Einstein field equations and massive Proca field equations for the antisymmetric…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. W. Moffat

We numerically construct a five-dimensional Proca-Maxwell system coupled to an infinite tower of higher-derivative gravity, parameterized by the correction order and coupling constant. While the first-order correction case recovers standard…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Chen-Hao Hao , Yong-Qiang Wang , Jieci Wang

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