A Type D Non-Vacuum Spacetime with Causality Violating Curves, and Its Physical Interpretation  

作　　者：Faizuddin Ahmed 

机构地区：[1]Ajmal College of Arts and Science

出　　处：《Communications in Theoretical Physics》2017年第12期735-740,共6页理论物理通讯（英文版）

摘　　要：We present a topologically trivial, non-vacuum solution of the Einstein's field equations in four dimensions,which is regular everywhere. The metric admits circular closed timelike curves, which appear beyond the null curve, and these timelike curves are linearly stable under linear perturbations. Additionally, the spacetime admits null geodesics curve, which are not closed, and the metric is of type D in the Petrov classification scheme. The stress-energy tensor anisotropic fluid satisfy the different energy conditions and a generalization of Equation-of-State parameter of perfect fluid p = ωρ. The metric admits a twisting, shearfree, nonexapnding timelike geodesic congruence. Finally, the physical interpretation of this solution, based on the study of the equation of the geodesics deviation, will be presented.We present a topologically trivia J, non-vacuum solution of the Einstein＇s field equations in four dimensions, which is regular everywhere. The metric admits circular closed timelike curves, which appear beyond the null curve, and these timelike curves are linearly stable under linear perturbations. Additionally, the spacetime admits null geodesics curve, which are not closed, and the metric is of type D in the Petrov classification scheme. The stress-energy tensor anisotropic fluid satisfy the different energy conditions and a generalization of Equation-of-State parameter of perfect fluid p ~ ~ p. The metric admits a twisting, shearfree, nonexapnding timelike geodesic congruence. Finally, the physical interpretation of this solution, based on the study of the equation of the geodesics deviation, will be presented.

关 键 词：exact solution anisotropic fluid closed timelike curves wave propagation and interactions 

分 类 号：O412.1[理学—理论物理]