Some aspects of the five-dimensional Lovelock black hole spacetime: Strong homotopy retract, perihelion precession and quasistationary levels

Journal Article · Fri Oct 15 00:00:00 EDT 2021 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2021.168583· OSTI ID:23183216

Abu-Saleem, M., E-mail: [e-mail] ^[1]; Vieira, H.S., E-mail: [e-mail] ^[2]

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1. Mathematics Department, Faculty of Science, Al-Balqa Applied University, 19117 Salt (Jordan)
2. Theoretical Astrophysics, Institute for Astronomy and Astrophysics, University of Tübingen, 72076 Tübingen (Germany)

Highlights: • Some topological aspects are explored. • The perihelion precession is calculated. • The general Heun functions are applied to obtain analytical solutions. • The quasibound states and the radial wave eigenfunctions are obtained. In this work we explore some mathematical physics aspects of the spherically symmetric Lovelock black hole in high dimensions. Intended for this aim, we thoroughly consider the metric corresponding to the five-dimensional Lovelock black hole spacetime. We construct the strong retractions by the geodesic equations on the background under consideration. As a result, from the topological point of view, we construct the theory of strong homotopy retract, which will allow us, in principle, to better understand some of its suitable applications on astrophysics and cosmology, in particular, in the analysis of the spacetime singularities. We find the solutions of the equation of motion for both radial and angular coordinates, and then we describe the outer (“exterior”) and lower (“interior”) apparent horizons. Indeed, the outer apparent horizon is the last surface from which the light waves could still escape from the black hole. Thus, it is meaningful to analyze some physical phenomena related to quantum particles propagating outside the exterior apparent horizon, in particular, we discuss the quasistationary levels of scalar fields and their radial wave functions, which are given in terms of the general Heun functions. We also calculate the perihelion precession in this background.

• OSTI ID: 23183216
• Journal Information: Annals of Physics, Vol. 433; Other Information: Copyright (c) 2021 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ANALYTICAL SOLUTION
ASTROPHYSICS
BLACK HOLES
COSMOLOGY
EIGENFUNCTIONS
EQUATIONS OF MOTION
GEODESICS
LAGRANGIAN FUNCTION
METRICS
QUASIBOUND STATE
SCALAR FIELDS
SINGULARITY
SPACE-TIME
SPHERICAL CONFIGURATION
SURFACES
SYMMETRY
TOPOLOGY
WAVE FUNCTIONS