In this manuscript,the traversable wormhole solutions have been explored in modified f(R,G)gravity by taking into consideration the model f(R,G)=R+rG2,where R is the Ricci curvature scalar and G is the Gauss–Bonnet t...In this manuscript,the traversable wormhole solutions have been explored in modified f(R,G)gravity by taking into consideration the model f(R,G)=R+rG2,where R is the Ricci curvature scalar and G is the Gauss–Bonnet term.An acceptable form of the redshift function has been incorporated which is a non-constant in nature along with the implementation of those already defined in literature,the two shape functions namely b(r)=r/exp(r-r0)and b(r)=r0log(r+1)/log(r0+1).It is shown by studying the energy condition and through the graphical analysis that the null energy bounds for the effective energy-momentum tensor are generally violated for the presence of the ordinary matter in modified f(R,G)gravity.Energy conditions associated with the matter content threading the wormhole geometries are evaluated and in general are found to favor the null energy conditions in the vicinity of the wormhole throat,the existence of the nonexotic wormhole geometries threaded by the matter has been confirmed under this gravity.展开更多
The main objective of this paper is to reveal the evolving traversable wormhole solutions in the context of modified f(R,G)gravity,which affects the gravitational interaction.These results are derived by applying the ...The main objective of this paper is to reveal the evolving traversable wormhole solutions in the context of modified f(R,G)gravity,which affects the gravitational interaction.These results are derived by applying the Karmarkar condition,which creates wormhole geometry that meets the necessary conditions and connects two asymptotically flat areas of spacetime.The proposed study's main goal is to construct the wormhole structures by splitting the f(R,G)gravity model into two forms Firstly,we split the model into an exponential-like f(R)gravity model and a power law f(G)gravity model,and secondly,we consider the Starobinsky f(R)gravity model along with a power law f(G)gravity model.Besides,we address the feasibility of shape functions and the structural analysis of wormhole structures for specific models.These models are then confined to be compatible with current experimental evidence.Further,the energy conditions of the wormhole are geometrically probed,and it is proven that they adhere to the null energy conditions in areas close to the throat.Moreover,the fascinating aspect of this study involves conducting an examination and comparison of evolving wormhole geometries in the vicinity of the throat in our chosen models,utilizing two-and three-dimensional graphical representations.We observe that our shape function acquired through the Karmarkar technique yields validated wormhole configurations with even less exotic matter,correlating to the proper choice of f(R,G)gravity models and acceptable free parameter values.In summary,we conclude that our findings meet all the criteria for the existence of wormholes,affirming the viability and consistency of our study.展开更多
文摘In this manuscript,the traversable wormhole solutions have been explored in modified f(R,G)gravity by taking into consideration the model f(R,G)=R+rG2,where R is the Ricci curvature scalar and G is the Gauss–Bonnet term.An acceptable form of the redshift function has been incorporated which is a non-constant in nature along with the implementation of those already defined in literature,the two shape functions namely b(r)=r/exp(r-r0)and b(r)=r0log(r+1)/log(r0+1).It is shown by studying the energy condition and through the graphical analysis that the null energy bounds for the effective energy-momentum tensor are generally violated for the presence of the ordinary matter in modified f(R,G)gravity.Energy conditions associated with the matter content threading the wormhole geometries are evaluated and in general are found to favor the null energy conditions in the vicinity of the wormhole throat,the existence of the nonexotic wormhole geometries threaded by the matter has been confirmed under this gravity.
基金National University of Computer and Emerging Sciences(NUCES)for funding support through research reward programmethe Grant No.YS304023912 to support his Postdoctoral Fellowship at Zhejiang Normal University,China。
文摘The main objective of this paper is to reveal the evolving traversable wormhole solutions in the context of modified f(R,G)gravity,which affects the gravitational interaction.These results are derived by applying the Karmarkar condition,which creates wormhole geometry that meets the necessary conditions and connects two asymptotically flat areas of spacetime.The proposed study's main goal is to construct the wormhole structures by splitting the f(R,G)gravity model into two forms Firstly,we split the model into an exponential-like f(R)gravity model and a power law f(G)gravity model,and secondly,we consider the Starobinsky f(R)gravity model along with a power law f(G)gravity model.Besides,we address the feasibility of shape functions and the structural analysis of wormhole structures for specific models.These models are then confined to be compatible with current experimental evidence.Further,the energy conditions of the wormhole are geometrically probed,and it is proven that they adhere to the null energy conditions in areas close to the throat.Moreover,the fascinating aspect of this study involves conducting an examination and comparison of evolving wormhole geometries in the vicinity of the throat in our chosen models,utilizing two-and three-dimensional graphical representations.We observe that our shape function acquired through the Karmarkar technique yields validated wormhole configurations with even less exotic matter,correlating to the proper choice of f(R,G)gravity models and acceptable free parameter values.In summary,we conclude that our findings meet all the criteria for the existence of wormholes,affirming the viability and consistency of our study.
