This investigation assesses the feasibility of a traversable wormhole by examining the energy densities associated with charged Casimir phenomena.We focus on the influence of the electromagnetic field created by an el...This investigation assesses the feasibility of a traversable wormhole by examining the energy densities associated with charged Casimir phenomena.We focus on the influence of the electromagnetic field created by an electric charge as well as the negative energy density arising from the Casimir source.We have developed different shape functions by defining energy densities from this combination.This paper explores various configurations of Casimir energy densities,specifically those occurring between parallel plates,cylinders and spheres positioned at specified distances from each other.Furthermore,the impact of the generalized uncertainty principle correction is also examined.The behavior of wormhole conditions is evaluated based on the Gauss–Bonnet coupled parameter(μ)and electric charge(Q)through the electromagnetic energy density constraint.This is attributed to the fact that the electromagnetic field satisfies the characteristicρ=-pr.Subsequently,we examine the active gravitational mass of the generated wormhole geometries and explore the behavior ofμand Q concerning active mass.The embedding representations for all formulated shape functions are examined.Investigations of the complexity factor of the charged Casimir wormhole have demonstrated that the values of the complexity factor consistently fall within a particular range in all scenarios.Finally,using the generalized Tolman–Oppenheimer–Volkoff equation,we examine the stability of the resulting charged Casimir wormhole solutions.展开更多
This paper examines traversable wormhole models in the f(R) theories of gravity by applying the Karmarkar condition. For this purpose, we consider spherically symmetric space-time to examine the structure of wormholes...This paper examines traversable wormhole models in the f(R) theories of gravity by applying the Karmarkar condition. For this purpose, we consider spherically symmetric space-time to examine the structure of wormholes. First, we investigate wormholes and their geometry using the redshift function under various conditions. Subsequently, we discuss the embedding diagram of the upper and lower universe using radial coordinates in two and three-dimensional Euclidean affine space. Three exclusive models are considered for the f(R) theories of gravity,and the radial and tangential pressures are observed. Furthermore, by taking a definite shape function, we observe the behavior of energy conditions. We determine that energy conditions are violated, and their violation is generic and represents the presence of exotic matter. According to Einstein’s field theory, the existence of wormholes is predicated on the occurrence of rare material. Hence, we conclude that our study is more realistic and stable.展开更多
基金the Deanship of Research and Graduate Studies at King Khalid University for funding this work through a Large Research Project under Grant No.RGP2/453/45partially supported by the National Natural Science Foundation of China under Grant No.11988101。
文摘This investigation assesses the feasibility of a traversable wormhole by examining the energy densities associated with charged Casimir phenomena.We focus on the influence of the electromagnetic field created by an electric charge as well as the negative energy density arising from the Casimir source.We have developed different shape functions by defining energy densities from this combination.This paper explores various configurations of Casimir energy densities,specifically those occurring between parallel plates,cylinders and spheres positioned at specified distances from each other.Furthermore,the impact of the generalized uncertainty principle correction is also examined.The behavior of wormhole conditions is evaluated based on the Gauss–Bonnet coupled parameter(μ)and electric charge(Q)through the electromagnetic energy density constraint.This is attributed to the fact that the electromagnetic field satisfies the characteristicρ=-pr.Subsequently,we examine the active gravitational mass of the generated wormhole geometries and explore the behavior ofμand Q concerning active mass.The embedding representations for all formulated shape functions are examined.Investigations of the complexity factor of the charged Casimir wormhole have demonstrated that the values of the complexity factor consistently fall within a particular range in all scenarios.Finally,using the generalized Tolman–Oppenheimer–Volkoff equation,we examine the stability of the resulting charged Casimir wormhole solutions.
基金Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R27),Princess Nourah bint Abdulrahman University,Riyadh,Saudi Arabia
文摘This paper examines traversable wormhole models in the f(R) theories of gravity by applying the Karmarkar condition. For this purpose, we consider spherically symmetric space-time to examine the structure of wormholes. First, we investigate wormholes and their geometry using the redshift function under various conditions. Subsequently, we discuss the embedding diagram of the upper and lower universe using radial coordinates in two and three-dimensional Euclidean affine space. Three exclusive models are considered for the f(R) theories of gravity,and the radial and tangential pressures are observed. Furthermore, by taking a definite shape function, we observe the behavior of energy conditions. We determine that energy conditions are violated, and their violation is generic and represents the presence of exotic matter. According to Einstein’s field theory, the existence of wormholes is predicated on the occurrence of rare material. Hence, we conclude that our study is more realistic and stable.
