f(Q)重力框架下非奇异流体可穿越虫洞解

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL
U. Sharma, Shweta, Ambuj Mishra
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引用次数: 11

摘要

虫洞几何结构中奇异物质的存在一直是GR中不可避免的问题。在最近的研究中,研究人员试图用修正的引力理论来解决这个问题,在修正的引力理论中,虫洞几何结构用额外曲率项来解释,并且NEC没有被违反,这意味着虫洞几何结构中的标准物质。在本文中,我们研究了在对称遥平行引力的框架下喉部有正常物质的可穿越虫洞的解[公式:见文],其中[公式:见文]是定义引力相互作用的非度规标量。我们分析了三种函数形式的虫洞几何形状[公式:见原文]。第一种是线性形式[公式:见文],第二种是非线性形式[公式:见文],第三种是更一般的二次形式[公式:见文],[公式:见文]和[公式:见文]是常数。对于这三种情况,取形状函数为[公式:见文],其中[公式:见文]为喉部半径。一个特殊的可变红移函数被考虑用于讨论。所有的能量条件,然后检查存在和稳定的虫洞几何。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Traversable wormhole solutions with non-exotic fluid in framework of f(Q) gravity
The presence of exotic matter for the existence of the wormhole geometry has been an unavoidable problem in GR. In recent studies, researchers have tried to deal with this issue using modified gravity theories where the WH geometry is explained by the extra curvature terms and NEC’s are not violated signifying the standard matter in the WH geometry. In this paper, we investigate the solutions of traversable wormholes with normal matter in the throat within the framework of symmetric teleparallel gravity [Formula: see text], where [Formula: see text] is the non-metricity scalar that defines the gravitational interaction. We analyze the wormhole geometries for three forms of function [Formula: see text]. First is the linear form [Formula: see text], second a nonlinear form [Formula: see text] and third one a more general quadratic form [Formula: see text] with [Formula: see text], [Formula: see text] and [Formula: see text] being the constants. For all the three cases, the shape function is taken as [Formula: see text] where [Formula: see text] is the throat radius. A special variable redshift function is considered for the discussion. All the energy conditions are then examined for the existence and stability of the wormhole geometry.
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来源期刊
CiteScore
3.40
自引率
22.20%
发文量
274
审稿时长
6 months
期刊介绍: This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics, including in particular: Classical Mechanics (Lagrangian, Hamiltonian, Poisson formulations); Quantum Mechanics (also semi-classical approximations); Hamiltonian Systems of ODE''s and PDE''s and Integrability; Variational Structures of Physics and Conservation Laws; Thermodynamics of Systems and Continua (also Quantum Thermodynamics and Statistical Physics); General Relativity and other Geometric Theories of Gravitation; geometric models for Particle Physics; Supergravity and Supersymmetric Field Theories; Classical and Quantum Field Theory (also quantization over curved backgrounds); Gauge Theories; Topological Field Theories; Strings, Branes and Extended Objects Theory; Holography; Quantum Gravity, Loop Quantum Gravity and Quantum Cosmology; applications of Quantum Groups; Quantum Computation; Control Theory; Geometry of Chaos.
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