Gravitational lensing by scalar-tensor wormholes and the energy conditions

Shaikh, Rajibul; Kar, Sayan

doi:10.1103/physrevd.96.044037

Cited by 92 publications

(37 citation statements)

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“…See [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] and references therein for some such examples. Also see [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] for some recent works on different aspects of wormholes.…”

Section: Introductionmentioning

confidence: 99%

Wormholes with nonexotic matter in Born-Infeld gravity

Shaikh

2018

Phys. Rev. D

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We show that, in contrast to general relativity, in Eddington-inspired Born-Infeld gravity (EiBI), a violation of the null convergence condition does not necessarily lead to a violation of the null energy condition, by establishing a relationship between them. This serves as a motivation for finding wormhole solutions which can be supported by nonexotic matter in this gravity theory. We then obtain exact solutions of the field equations in EiBI gravity coupled to arbitrary nonlinear electrodynamics and anisotropic fluids. Depending on the signs and values of different parameters, the general solutions can represent both black holes and wormholes. In this work, we analyze the wormhole solutions. These wormholes are supported by nonexotic matter, i.e., matter satisfying all the energy conditions. As special cases of our general solutions, we work out several specific examples by considering Maxwell, power-law, Born-Infeld electrodynamics models and a particular form of an anisotropic fluid. * rajibul.shaikh@tifr.res.in

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Section: Introductionmentioning

confidence: 99%

Wormholes with nonexotic matter in Born-Infeld gravity

Shaikh

2018

Phys. Rev. D

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“…In addition, after the pioneer works by Kim and Cho [79], the gravitational lensing by a negative ArnowittDeser-Misner (ADM) mass was studied in [80][81][82][83][84][85]. As a consequence, several forms of the deflection angle by the Ellis wormhole (particular example of the Morris-Thorne traversable wormhole) have been studied in the strong field limit [73][74][75][76][77][78]. The computation of the deflection angle in the weak field limit for spherically symmetric static spacetimes may be accomplished through a simple algorithm.…”

Section: Introductionmentioning

confidence: 99%

Deflection of light by black holes and massless wormholes in massive gravity

et al. 2018

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Weak gravitational lensing by black holes and wormholes in the context of massive gravity (Bebronne and Tinyakov, JHEP 0904:100, 2009) theory is studied. The particular solution examined is characterized by two integration constants, the mass M and an extra parameter S namely 'scalar charge'. These black hole reduce to the standard Schwarzschild black hole solutions when the scalar charge is zero and the mass is positive. In addition, a parameter λ in the metric characterizes so-called 'hair'. The geodesic equations are used to examine the behavior of the deflection angle in four relevant cases of the parameter λ. Then, by introducing a simple coordinate transformation r λ = S + v 2 into the black hole metric, we were able to find a massless wormhole solution of Einstein-Rosen (ER) (Einstein and Rosen, Phys Rev 43:73, 1935) type with scalar charge S. The programme is then repeated in terms of the Gauss-Bonnet theorem in the weak field limit after a method is established to deal with the angle of deflection using different domains of integration depending on the parameter λ. In particular, we have found new analytical results corresponding to four special cases which generalize the well known deflection angles reported in the literature. Finally, we have established the time delay problem in the spacetime of black holes and wormholes, respectively. a

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“…This can be interpreted as repulsive effect of gravity which is one of the unique characters of the dRGT massive gravity. It should be remarked that, negative deflection angle is also found in the BHT massive gravity [36] and in modified gravity theories with exotic matter and energy [42][43][44][45][46].…”

Section: A Large γ Term Regimementioning

confidence: 95%

Particle motions and gravitational lensing in de Rham-Gabadadze-Tolley massive gravity theory

2019

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We investigate gravitational lensing and particle motions around non-asymptotically flat black hole spacetime in non-linear, ghost-free massive gravity theory, called de Rham-Gabadadze-Tolley (dRGT) massive gravity. Deflection angle formulae are derived in terms of perihelion parameter. The deflection angle can be positive, zero or even negative with various perihelion distance. The negative angle reveals repulsive behaviour of gravity from a linear term γ in the dRGT black hole solution. We also find an analytically approximated formula of deflection angle in two regimes: large and small γ term regimes which are shown to be consistent with direct numerical integration. Null and timelike geodesic motions on equatorial plane are explored. Particle trajectories around the dRGT black hole are plotted and discussed in details.

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Gravitational lensing by scalar-tensor wormholes and the energy conditions

Cited by 92 publications

References 100 publications

Wormholes with nonexotic matter in Born-Infeld gravity

Wormholes with nonexotic matter in Born-Infeld gravity

Deflection of light by black holes and massless wormholes in massive gravity

Particle motions and gravitational lensing in de Rham-Gabadadze-Tolley massive gravity theory

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