A family of type N space-time with a negative cosmological constant and causality violation
Abstract A family of type N exact solutions of the Einstein’s field equations with non-zero cosmological constant admitting closed time-like curves, which appear after a certain instant of time, is presented. The space-time is free from curvature divergence, admits a non-expanding, non-twisting, and...
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| Published in | Progress of theoretical and experimental physics Vol. 2019; no. 1 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
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Oxford University Press
01.01.2019
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| Abstract | Abstract
A family of type N exact solutions of the Einstein’s field equations with non-zero cosmological constant admitting closed time-like curves, which appear after a certain instant of time, is presented. The space-time is free from curvature divergence, admits a non-expanding, non-twisting, and shear-free geodesics null congruence, and belongs to a special class of type N Kundt metrics. The space-time exhibits geometrically different properties from the known plane-fronted gravitational waves with parallel rays (pp-waves) or plane waves which violate the causality condition. This family of solutions is a four-dimensional generalization of the two-dimensional Misner space metric in curved space-time. |
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| AbstractList | Abstract
A family of type N exact solutions of the Einstein’s field equations with non-zero cosmological constant admitting closed time-like curves, which appear after a certain instant of time, is presented. The space-time is free from curvature divergence, admits a non-expanding, non-twisting, and shear-free geodesics null congruence, and belongs to a special class of type N Kundt metrics. The space-time exhibits geometrically different properties from the known plane-fronted gravitational waves with parallel rays (pp-waves) or plane waves which violate the causality condition. This family of solutions is a four-dimensional generalization of the two-dimensional Misner space metric in curved space-time. A family of type N exact solutions of the Einstein’s field equations with non-zero cosmological constant admitting closed time-like curves, which appear after a certain instant of time, is presented. The space-time is free from curvature divergence, admits a non-expanding, non-twisting, and shear-free geodesics null congruence, and belongs to a special class of type N Kundt metrics. The space-time exhibits geometrically different properties from the known plane-fronted gravitational waves with parallel rays (pp-waves) or plane waves which violate the causality condition. This family of solutions is a four-dimensional generalization of the two-dimensional Misner space metric in curved space-time. |
| Author | Ahmed, Faizuddin |
| Author_xml | – sequence: 1 givenname: Faizuddin surname: Ahmed fullname: Ahmed, Faizuddin email: faizuddinahmed15@gmail.com organization: Ajmal College of Arts and Science, Dhubri-783324, Assam, India |
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A family of type N exact solutions of the Einstein’s field equations with non-zero cosmological constant admitting closed time-like curves, which... A family of type N exact solutions of the Einstein’s field equations with non-zero cosmological constant admitting closed time-like curves, which appear after... |
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| Title | A family of type N space-time with a negative cosmological constant and causality violation |
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