Wormholes with nonexotic matter in Born-Infeld gravity

Shaikh, Rajibul

doi:10.1103/physrevd.98.064033

Cited by 54 publications

(30 citation statements)

References 88 publications

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“…The matter supporting the above wormhole satisfies all the energy conditions. However, to make the wormhole traversable, the parameter κ, the mass M and the throat radius r 0 of the wormhole have to satisfy the following [45]: Figure 1 shows the effective potential for different value of x (both wormhole and black hole).…”

Section: A Specific Example In Modified Gravitymentioning

confidence: 99%

A novel gravitational lensing feature by wormholes

et al. 2019

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Horizonless compact objects with light rings (or photon spheres) are becoming increasingly popular in recent years for several reasons. In this paper, we show that a horizonless object such as a wormhole of Morris-Thorne type can have two photon spheres. In particular, we show that, in addition to the one present outside a wormhole throat, the throat can itself act as an effective photon sphere. Such wormholes exhibit two sets of relativistic Einstein ring systems formed due to strong gravitational lensing.We consider a previously obtained wormhole solution as a specific example. If such type of wormhole casts a shadow at all, then the inner set of the relativistic Einstein rings will form the outer bright edge of the shadow. Such a novel lensing feature might serve as a distinguishing feature between wormholes and other celestial objects as far as gravitational lensing is concerned. * rshaikh@iitk.ac.in † bpritam@iitk.ac.in ‡ svnkr@iitk.ac.in § tapo@iitk.ac.in

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Section: A Specific Example In Modified Gravitymentioning

confidence: 99%

A novel gravitational lensing feature by wormholes

et al. 2019

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“…Subsequently, this method has been applied in the context of static/rotating wormholes and topological defects [43][44][45][46][47][48][49][50][51][52], including the recent work by Ono et al [53]. It is worth noting that the problem the exotic matter can be avoided in some modified theories of gravity in which the wormholes are supported by matter that satisfies the energy conditions [54][55][56][57][58][59][60][61][62].…”

Section: Introductionmentioning

confidence: 99%

Determining the Topology and Deflection Angle of Ringholes via Gauss-Bonnet Theorem

Jusufi¹

2021

Universe

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In this letter, we use a recent wormhole metric known as a ringhole [Gonzalez-Diaz, Phys. Rev. D 54, 6122, 1996] to determine the surface topology and the deflection angle of light in the weak limit approximation using the Gauss-Bonnet theorem (GBT). We apply the GBT and show that the surface topology at the wormhole throat is indeed a torus by computing the Euler characteristic number. As a special case of the ringhole solution, one can find the Ellis wormhole which has the surface topology of a 2-sphere at the wormhole throat. The most interesting results of this paper concerns the problem of gravitational deflection of light in the spacetime of a ringhole geometry by applying the GBT to the optical ringhole geometry. It is shown that, the deflection angle of light depends entirely on the geometric structure of the ringhole geometry encoded by the parameters b0 and a, being the ringhole throat radius and the radius of the circumference generated by the circular axis of the torus, respectively. As special cases of our general result, the deflection angle by Ellis wormhole is obtained. Finally, we work out the problem of deflection of relativistic massive particles and show that the deflection angle remains unaltered by the speed of the particles.

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“…Other popular class modified gravity theories, where detailed analysis of wormhole geometries is done with viable matter source, are the so-called f (R) and higher order gravity theories [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. Recently, successful modelling and analysis of energy condition satisying wormholes are carried out within the framework of Born-Infeld gravity [51][52][53] and torsional gravity [54][55][56]. Note that, all these different scenarios in general have different signatures in different physical phenomenon, particularly in gravitational lensing [57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Generalised Ellis–Bronnikov wormholes embedded in warped braneworld background and energy conditions

Sharma

Ghosh

2021

Eur. Phys. J. C

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Ellis–Bronnikov (EB) wormholes require violation of null energy conditions at the ‘throat’. This problem was cured by a simple modification of the ‘shape function’, which introduces a new parameter $$m\ge 2$$ m ≥ 2 ($$m=2$$ m = 2 corresponds to the EB model). This leads to a generalised (GEB) version. In this work, we consider a model where the GEB wormhole geometry is embedded in a five dimensional warped background. We studied the status of all the energy conditions in detail for both EB and GEB embedding. We present our results analytically (wherever possible) and graphically. Remarkably, the presence of decaying warp factor leads to satisfaction of weak energy conditions even for the EB geometry, while the status of all the other energy conditions are improved compared to the four dimensional scenario. Besides inventing a new way to avoid the presence of exotic matter, in order to form a wormhole passage, our work reveals yet another advantage of having a warped extra dimension.

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Wormholes with nonexotic matter in Born-Infeld gravity

Cited by 54 publications

References 88 publications

A novel gravitational lensing feature by wormholes

A novel gravitational lensing feature by wormholes

Determining the Topology and Deflection Angle of Ringholes via Gauss-Bonnet Theorem

Generalised Ellis–Bronnikov wormholes embedded in warped braneworld background and energy conditions

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