Errata: Ether flow through a drainhole: A particle model in general relativity

Ellis, Homer G.

doi:10.1063/1.1666675

Cited by 26 publications

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that we exclude from our consideration the special case A ≡ 1 represented by the unique (apart from flat spacetime) Ellis-Bronnikov solution [42][43][44][45] with φ(r) = arctan r/C 0 , V(φ) = 0, and C(r) = r 2 + C 2 0 1/2 ; this solution represents a traversable wormhole which is geodesically complete but admits no stable bound orbits at all.…”

Section: Scalar Field Wormholesmentioning

confidence: 99%

Null and Timelike Geodesics near the Throats of Phantom Scalar Field Wormholes

2020

View full text Add to dashboard Cite

We study geodesic motion near the throats of asymptotically flat, static, spherically symmetric traversable wormholes supported by a self-gravitating minimally coupled phantom scalar field with an arbitrary self-interaction potential. We assume that any such wormhole possesses the reflection symmetry with respect to the throat, and consider only its observable “right half”. It turns out that the main features of bound orbits and photon trajectories close to the throats of such wormholes are very different from those near the horizons of black holes. We distinguish between wormholes of two types, the first and second ones, depending on whether the redshift metric function has a minimum or maximum at the throat. First, it turns out that orbits located near the centre of a wormhole of any type exhibit retrograde precession, that is, the angle of pericentre precession is negative. Second, in the case of high accretion activity, wormholes of the first type have the innermost stable circular orbit at the throat while those of the second type have the resting-state stable circular orbit in which test particles are at rest at all times. In our study, we have in mind the possibility that the strongly gravitating objects in the centres of galaxies are wormholes, which can be regarded as an alternative to black holes, and the scalar field can be regarded as a realistic model of dark matter surrounding galactic centres. In this connection, we discuss qualitatively some observational aspects of results obtained in this article.

show abstract

Section: Scalar Field Wormholesmentioning

confidence: 99%

Null and Timelike Geodesics near the Throats of Phantom Scalar Field Wormholes

2020

View full text Add to dashboard Cite

show abstract

“…Afterward, Wheeler demonstrated that wormholes would be unsteady and non-traversable for even a photon [4]. The metric of Ellis wormholes was first discussed in [5] and then investigation of Ellis wormholes in General Relativity (GR) went back to the basic works of Morris and Thorne in 1988 [6] where they presented a traversable wormhole geometry. Furthermore, some scientists briefly have examined the gravitational lensing of Ellis wormhole in ( [7]- [14]).…”

Section: Introductionmentioning

confidence: 99%

Weak deflection angle by Casimir wormhole using Gauss-bonnet theorem and its shadow

Javed,

Hamza,

Övgün

2021

Preprint

View full text Add to dashboard Cite

In this paper, we calculate the weak deflection angle by Casimir wormhole and its shadow. To do so, we derive the Gaussian optical curvature and use the Gauss-Bonnet theorem. Then we find the deflection angle by Casimir wormhole in weak field limits. Moreover, we obtain the weak deflection angle in the presence of plasma medium and see the effect of the plasma medium on the weak deflection angle. Moreover, we study a shadow of Casimir wormhole and we plot and discuss them. We show the shadow of Casimir wormhole's behaviour when changing the value of a.

show abstract

“…Wormholes are tunnel like objects which connect different spacetime regions within the Universe, or different universes [1,2]. In recent times the study of traversable wormholes (TW) has attracted a lot of interest with the pioneering work of Ellis [3,4], Bronnikov [5] including the seminal work of Morris and Thorne [6]. The geometry of TW may be supported by exotic matter concentrated at the wormhole throat which implies the violation of the energy conditions, namely null energy condition (NEC) [7].…”

Section: Introductionmentioning

confidence: 99%

Traversable wormholes in the galactic halo with MOND and non-linear equation of state

Paul¹

2021

Class. Quantum Grav.

View full text Add to dashboard Cite

The existence of traversable wormhole (TW) in the Einstein’s general theory of relativity is explored with density profile obtained from modified Newtonian dynamics (MOND) with or without a scalar field. The shape functions for wormholes and the null energy conditions (NEC) of matter in the wormhole are determined with a constant redshift function. Wormholes are found to exist with MOND density profile in the presence of exotic matter and determine the mass of a asymptotic flat wormhole geometry. The addition of an extra massless scalar field with MOND density profile permits wormholes even when NEC is obeyed at the throat depending on the initial value of the scalar field. Considering a non-linear equation of state (EoS) , (where A, B and ρ c are constants) in Einstein gravity we obtain TW. In this case new classes of TW solutions are determined which depends on the EoS parameters A and B. TW exists with normal matter when ρ(r 0) ⩾ ρ c and with exotic matter when ρ(r 0) < ρ c at the throat where .

show abstract

Errata: Ether flow through a drainhole: A particle model in general relativity

Cited by 26 publications

References 0 publications

Null and Timelike Geodesics near the Throats of Phantom Scalar Field Wormholes

Null and Timelike Geodesics near the Throats of Phantom Scalar Field Wormholes

Weak deflection angle by Casimir wormhole using Gauss-bonnet theorem and its shadow

Traversable wormholes in the galactic halo with MOND and non-linear equation of state

Contact Info

Product

Resources

About