Geodesics in Generalised Ellis-Bronnikov Spacetime Embedded in Warped 5D Background

Abstract

We study the particle trajectories in the recently proposed five dimensional warped (generalized) Ellis-Bronnikov spacetime (5D-WGEB) (which does not require exotic matter) as well as it's four dimensional counterpart (4D-GEB) in detail and conduct a comparative study. Analytical approach provides conditions which determines three types of trajectories (trapped, returning and crossing) for both 4D and 5D spacetimes. Notably in 5D geometry existence of trapped trajectories become highly sensitive to the initial conditions. We have solved the timelike geodesic equations numerically and presented the trajectories graphically along with corresponding geodesic potentials. We thus distinguished the roles of the so-called wormhole parameter and the warping factor regarding their effects on the trajectories and embedding as such. Interestingly, the 5D-WGEB model shows the localization of massive particles around the location of the brane for growing warp factor and runaway trajectories for decaying warp factor.

arXiv comment20+5 preprint pages, 11 figures; references added, version accepted in EPJC

References in corpus (64)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Traversable wormholes with arbitrarily small energy condition violations
• Wormhole geometries in f(R) modified theories of gravity
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Phantom energy traversable wormholes
• Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• The null energy condition in dynamic wormholes
• Natural Wormholes as Gravitational Lenses
• On the exact gravitational lens equation in spherically symmetric and static spacetimes
• Exact traversable wormhole solution in bumblebee gravity
• Can the supermassive objects at the centers of galaxies be traversable wormholes? The first test of strong gravity for mm/sub-mm VLBI facilities
• Thick brane solutions
• Can we distinguish between black holes and wormholes by their Einstein-ring systems?
• The Shadow of a Rotating Traversable Wormhole
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Stable Lorentzian Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• Hierarchy problem in the shell-Universe model
• Gravitational Microlensing by the Ellis Wormhole
• Our World as an Expanding Shell
• Inflating Lorentzian Wormholes
• Wormhole solutions in symmetric teleparallel gravity
• Testing the binary black hole nature of a compact binary coalescence
• Static spherically symmetric solutions in mimetic gravity: rotation curves & wormholes
• Evolving Lorentzian Wormholes
• Traversable wormhole geometries in $f(Q)$ gravity
• A general class of braneworld wormholes
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• General class of wormhole geometries in conformal Weyl gravity
• Astrometric Image Centroid Displacements due to Gravitational Microlensing by the Ellis Wormhole
• Wormhole throats in $R^m$ gravity
• Wormholes in exponential $f(R,T)$ gravity
• Wormholes, the weak energy condition, and scalar-tensor gravity
• Search for astrophysical rotating Ellis wormholes with X-ray reflection spectroscopy
• Gravitational waves from quasinormal modes of a class of Lorentzian wormholes
• Observational Upper Bound on the Cosmic Abundances of Negative-mass Compact Objects and Ellis Wormholes from the Sloan Digital Sky Survey Quasar Lens Search
• Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra
• Geometry of Spinning Ellis Wormholes
• Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis
• Can extra dimensional effects allow wormholes without exotic matter?
• Light Rays, Singularities, and All That
• Spherical systems in models of nonlocally corrected gravity
• Static spherically symmetric wormholes in generalized $f(R,\varphi )$ gravity
• $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y\left(\times U(1{)}_X\right)$ as a symmetry of division algebraic ladder operators
• Geodesic motion around traversable wormholes supported by a massless conformally-coupled scalar field
• Spinning Wormholes in Scalar-Tensor Theory
• Three fermion generations with two unbroken gauge symmetries from the complex sedenions
• Mixed neutron-star-plus-wormhole systems: Linear stability analysis
• Static wormholes on the brane inspired by Kaluza-Klein gravity
• A Star Harbouring a Wormhole at its Core
• Ellis wormhole without a phantom scalar field
• Hiding a neutron star inside a wormhole
• Confinement of test particles in warped spacetimes
• Traversable wormholes in the traceless $f(R,T)$ gravity
• Ellis Wormholes in Anti-De Sitter Space
• Mixed neutron-star-plus-wormhole systems: Equilibrium configurations
• Generalised Ellis-Bronnikov wormholes embedded in warped braneworld background and energy conditions
• Can mixed star-plus-wormhole systems mimic black holes?
• Magnetic fields in mixed neutron-star-plus-wormhole systems
• Inflating wormholes in the braneworld models
• Bulk spacetimes for cosmological braneworlds with a time--dependent extra dimension
• Non--Abelian Wormholes Threaded by Yang--Mills--Higgs Field in the BPS Limit

Cited by in corpus (2)

• Embedding Wormholes and Dyonic Black Strings in Warped Braneworlds via Local Sum Rules
• Field Sources for Generalized Ellis-Bronnikov Wormhole