Static spherically symmetric wormholes in generalized f(R,
                
                  
                
                $\phi$
                
                  
                    ϕ
                  
                
              ) gravity

Zubair, M.; Kousar, Farzana; Bahamonde, Sebastián

doi:10.1140/epjp/i2018-12344-y

Cited by 47 publications

(13 citation statements)

References 61 publications

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“…Bahamonde et al [20] used the approximation of small wormholes and formulated a non-static wormhole asymptotically approaching towards the Friedmann-Lemaître-Robertson-Walker universe. Zubair et al [21] used three different types of equation of state to discuss wormhole solutions in f (R, φ) gravity.…”

Section: Introductionmentioning

confidence: 99%

Wormhole structures in logarithmic-corrected $$R^2$$ gravity

Fayyaz

Shamir

2020

Eur. Phys. J. C

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This paper is devoted to find the feasible shape functions for the construction of static wormhole geometry in the frame work of logarithmic-corrected $$R^2$$R2 gravity model. We discuss the asymptotically flat wormhole solutions sustained by the matter sources with anisotropic pressure, isotropic pressure and barotropic pressure. For anisotropic case, we consider three shape functions and evaluate the null energy conditions and weak energy conditions graphically along with their regions. Moreover, for barotropic and isotropic pressures, we find shape function analytically and discuss its properties. For the formation of traversable wormhole geometries, we cautiously choose the values of parameters involved in f(R) gravity model. We show explicitly that our wormhole solutions violate the non-existence theorem even with logarithmic corrections. We discuss all physical properties via graphical analysis and it is concluded that the wormhole solutions with relativistic formalism can be well justified with logarithmic corrections.

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Section: Introductionmentioning

confidence: 99%

Wormhole structures in logarithmic-corrected $$R^2$$ gravity

Fayyaz

Shamir

2020

Eur. Phys. J. C

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“…In such models, one extends only the geometric sector, without introducing any exotic matter. In such models, gravity shows a different behaviour either above (infrared modification) or below (ultraviolet modification) a certain length scale, whilst the robust results of General Relativity at local and Solar System scales are preserved [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] (see Refs. [35,36] for a class of models related to Horndeski theory).…”

Section: Introductionmentioning

confidence: 99%

Constraints on extended gravity models through gravitational wave emission

Lambiase,

Sakellariadou,

Stabile

2020

Preprint

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Using recent experimental results of detection of gravitational waves from the binary black hole signals by Advanced LIGO and Advanced Virgo, we investigate the propagation of gravitational waves in the context of fourth order gravity nonminimally coupled to a massive scalar field. In particular, we impose constraints on the free parameters of extended gravity models from the current observational data.

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“…Bahamonde et al [20] used the approximation of small wormholes and formulated a non-static wormhole asymptotically approaching towards the Friedmann-Lematre-Robertson-Walker universe. Zubair et al [21] used three different types of equation of state to discuss wormhole solutions in f (R, φ) gravity.…”

Section: Introductionmentioning

confidence: 99%

Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity

Fayyaz,

Shamir

2020

Preprint

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This paper is devoted to find the feasible shape functions for the construction of static wormhole geometry in the frame work of logarithmic-corrected R 2 gravity model. We discuss the asymptotically flat wormhole solutions sustained by the matter sources with anisotropic pressure, isotropic pressure and barotropic pressure. For anisotropic case, we consider three shape functions and evaluate the null energy conditions and weak energy conditions graphically along with their regions. Moreover, for barotropic and isotropic pressures, we find shape function analytically and discuss its properties. For the formation of traversable wormhole geometries, we cautiously choose the values of parameters involved in f (R) gravity model. We show explicitly that our wormhole solutions violates the non-existence theorem even with logarithmic corrections. We discuss all physical properties via graphical analysis and it is concluded that the wormhole solutions with relativistic formalism can be well justified with logarithmic corrections.

show abstract

Static spherically symmetric wormholes in generalized f(R, $\phi$ ϕ ) gravity

Cited by 47 publications

References 61 publications

Wormhole structures in logarithmic-corrected $$R^2$$ gravity

Wormhole structures in logarithmic-corrected $$R^2$$ gravity

Constraints on extended gravity models through gravitational wave emission

Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity

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