# Geodesics of the hyperbolically symmetric black hole

@article{Herrera2020GeodesicsOT, title={Geodesics of the hyperbolically symmetric black hole}, author={Luis Herrera and Alicia Di Prisco and J. Ospino and Louis Witten}, journal={Physical Review D}, year={2020} }

We carry out a systematic study on the motion of test particles in the region inner to the horizon of a hyperbolically symmetric black hole. The geodesic equations are written and analyzed in detail. The obtained results are contrasted with the corresponding results obtained for the spherically symmetric case. It is found that test particles experience a repulsive force within the horizon, which prevents them to reach the center. These results are obtained for radially moving particles as well…

## 6 Citations

Motion of charged particles in spacetimes with magnetic fields of spherical and hyperbolic symmetry

- Physics, Mathematics
- 2022

The motion of charged particles in spacetimes containing a submanifold of constant positive or negative curvature are considered, with the electromagnetic tensor proportional to the volume two-form…

A Comprehensive Analysis of Hyperbolical Fluids in Modified Gravity

- PhysicsEntropy
- 2022

This paper is devoted to understanding a few characteristics of static irrotational matter content that assumes hyperbolical symmetry. For this purpose, we use metric f(R) gravity to carry out our…

Influence of electromagnetic field on hyperbolically symmetric source

- Physics
- 2021

We pursue a coherent analysis of hyperbolically symmetric static sources by extending the work of Herrera [32] to the case of electromagnetic field. We deeply analyze the impact of such a force on…

Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi Spacetimes

- MathematicsEntropy
- 2021

The remarkable fact is that all solutions satisfying the vanishing complexity factor condition are necessarily nondissipative and satisfy the stiff equation of state.

Dynamics of Hyperbolically Symmetric Fluids

- PhysicsSymmetry
- 2021

It is shown that the energy density is necessarily negative, and the central region cannot be attained by any fluid element, and this inner region is described by a vacuum cavity around the center.

Landauer Principle and General Relativity

- PhysicsEntropy
- 2020

The physical relevance of the Landauer principle is illustrated applying it to different important issues concerning the theory of gravitation.

## References

SHOWING 1-10 OF 69 REFERENCES

Kerr geodesics following the axis of symmetry

- Physics
- 2015

We present here the general expressions for the acceleration of massive test particles along the symmetry axis of the Kerr metric, and then study the main properties of this acceleration in different…

Geodesics in a Quash-Spherical Spacetime: A Case of Gravitational Repulsion

- Physics
- 2005

No HeadingGeodecis are studied in one of the Weyl metrics, referred to as the M-Q solution. First, arguments are provided, supporting our belief that this space-time is the more suitable (among the…

Rotating coordinates as tools for calculating circular geodesics and gyroscopic precession

- Physics
- 1990

If an axially symmetric stationary metric is given in standard form (i.e. in coordinates adapted to the symmetries) the transformationφ→φ′ =φ-ωt (ω=constant) of the azimuthal angle leads to another…

Past-Future Asymmetry of the Gravitational Field of a Point Particle

- Physics
- 1958

The analytic extension of the Schwarzschild exterior solution is given in a closed form valid throughout empty space-time and possessing no irregularities except that at the origin. The gravitational…

Observable acceleration of jets by a Kerr black hole

- Physics
- 2016

In the framework of a model based on the gravitational field of the Kerr black hole, we turn to investigate the kinematic behavior of extragalactic jets. We analytically calculate the observable…

An Alternative Approach to the Static Spherically Symmetric, Vacuum Global Solution to the Einstein Equations

- PhysicsAdvances in High Energy Physics
- 2018

We propose an alternative description of the Schwarzschild black hole based on the requirement that the solution is static not only outside the horizon but also inside it. As a consequence of this…

Dynamics of Relativistic Flows

- Physics
- 2003

Dynamics of relativistic outflows along the rotation axis of a Kerr black hole is investigated using a simple model that takes into account the relativistic tidal force of the central source as well…

Tidal dynamics of relativistic flows near black holes

- Physics
- 2005

We point out novel consequences of general relativity involving tidal dynamics of ultrarelativistic relative motion. Specifically, we use the generalized Jacobi equation and its extension to study…

REDUCTION OF THE GEOMETRICAL MASS OF THE REISSNER–NORDSTRÖM SPACETIME

- Physics
- 2002

We derive the Teixeira, Wolk and Som method,1 for obtaining electrostatic solutions from some given vacuum solutions, in its inverse form. Then we use it to obtain the geometrical mass MS in the…

Duality between static spherically or hyperbolically symmetric solutions and cosmological solutions in scalar-tensor gravity

- PhysicsPhysical Review D
- 2018

We study static spherically and hyperbolically symmetric solutions of the Einstein equations in the presence of a conformally coupled scalar field and compare them with those in the space filled with…