# On horizons and wormholes in k-essence theories

@article{Bronnikov2015OnHA, title={On horizons and wormholes in k-essence theories}, author={Kirill A. Bronnikov and J{\'u}lio C{\'e}sar Fabris and Denis Campos Rodrigues}, journal={Gravitation and Cosmology}, year={2015}, volume={22}, pages={26-31} }

We study the properties of possible static, spherically symmetric configurations in k-essence theories with the Lagrangian functions of the form F(X), X ≡ ϕ,αϕ,α. A no-go theorem has been proved, claiming that a possible black-hole-like Killing horizon of finite radius cannot exist if the function F(X) is required to have a finite derivative dF/dX. Two exact solutions are obtained for special cases of kessence: one for F(X) = F0X1/3, another for F(X) = F0|X|1/2 − 2Λ, where F0 and Λ are…

## 8 Citations

### Instability of some k-essence spacetimes

- Mathematics, Physics
- 2019

We study the stability properties of static, spherically symmetric configurations in k-essence theories with the Lagrangians of the form $F(X)$, $X \equiv \phi_{,\alpha} \phi^{,\alpha}$. The…

### Kinetic gravity braiding wormhole geometries

- Computer Science
- 2020

This work presents the full gravitational field equations in a static and spherically symmetric traversable wormhole background, and outlines the general constraints at the wormhole throat, imposed by the flaring-out conditions.

### Static, spherically symmetric solutions with a scalar field in Rastall gravity

- Physics, Mathematics
- 2016

Rastall’s theory belongs to the class of non-conservative theories of gravity. In vacuum, the only non-trivial static, spherically symmetric solution is the Schwarzschild one, except for a very…

### The simplest wormhole in Rastall and k-essence theories

- PhysicsThe European Physical Journal C
- 2021

The geometry of the Ellis–Bronnikov wormhole is implemented in the Rastall and k-essence theories of gravity with a self-interacting scalar field. The form of the scalar field potential is determined…

### Duality between k-essence and Rastall gravity

- Physics
- 2017

The k-essence theory with a power-law function of $$(\partial \phi )^2$$(∂ϕ)2 and Rastall’s non-conservative theory of gravity with a scalar field are shown to have the same solutions for the metric…

### On Black Hole Structures in Scalar-Tensor Theories of Gravity

- Physics
- 2016

We review some properties of black hole structures appearing in gravity with a massless scalar field, with both minimal and nonminimal coupling. The main properties of the resulting cold black holes…

### General constraints on Horndeski wormhole throats

- Computer Science
- 2020

The generic constraints analyzed in this work serve as a consistency check of the main solutions obtained in the literature and draw out new avenues of research in considering applications of specific subclasses of the Horndeski theory to wormhole physics.

### Rastall’s theory of gravity: spherically symmetric solutions and the stability problem

- Mathematics
- 2020

We study the stability of static, spherically symmetric solutions of Rastall's theory in the presence of a scalar field with respect to spherically symmetric perturbations. It is shown that the…

## References

SHOWING 1-10 OF 27 REFERENCES

### Scalar Fields in Multidimensional Gravity. No-Hair and Other No-Go Theorems

- Mathematics
- 2003

Global properties of static, spherically symmetric configurations with scalar fields of sigma-model type with arbitrary potentials are studied in D dimensions, including models where the space-time…

### Cold scalar-tensor black holes: causal structure, geodesics, stability.

- Mathematics
- 1998

We study the structure and stability of spherically symmetric Brans-Dicke black-hole type solutions with an infinite horizon area and zero Hawking temperature, existing for negative values of the…

### On the stability of scalar-vacuum space-times

- Physics
- 2011

We study the stability of static, spherically symmetric solutions to the Einstein equations with a scalar field as the source. We describe a general methodology of studying small radial perturbations…

### Spherically symmetric false vacuum: No go theorems and global structure

- Physics
- 2001

We enumerate all possible types of spacetime causal structures that can appear in static, spherically symmetric configurations of a self-gravitating, real, nonlinear, minimally coupled scalar field…

### Instability of wormholes supported by a ghost scalar field: I. Linear stability analysis

- Physics
- 2008

We examine the linear stability of static, spherically symmetric wormhole solutions of Einstein's field equations coupled to a massless ghost scalar field. These solutions are parametrized by the…

### Ether flow through a drainhole - a particle model in general relativity

- Physics
- 1973

The Schwarzchild manifold of general relativitytheory is unsatisfactory as a particle model because the singularity at the origin makes it geodesically incomplete. A coupling of the geometry of…

### ''No-hair'' theorems for the Abelian Higgs and Goldstone models

- Physics, Mathematics
- 1978

We examine the question of whether black holes can have associated external massive vector and/or scalar fields, when the masses are produced by spontaneous symmetry breaking. Working throughout in…

### Scalar mesostatic field with regard for gravitational effects

- Physics
- 1948

(Foreword by translator.) The aim of present translation is to clarify the historically important question who was the pioneer in obtaining of exact static solutions of Einstein equations minimally…

### Essentials of k essence

- Physics
- 2001

We recently introduced the concept of ``k-essence'' as a dynamical solution for explaining naturally why the universe has entered an epoch of accelerated expansion at a late stage of its evolution.…