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Plane symmetric model with constant deceleration parameter

2020/02/20 by Vijay Singh, Singh, Vijay, Aroonkumar Beesham +1
Mathematics · Physics and Astronomy · #83C05 #83C15 #83F05 #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Constant (computer programming) #Cosmological model #Cosmology #Cosmology and Gravitation Theories #Deceleration parameter #FOS: Physical sciences #G.0 #General Relativity and Quantum Cosmology (gr-qc) #Geometry #Mathematics #Mechanics #Physics #Plane (geometry) #Quantum mechanics #Statistical physics #acm:83C05 #acm:83C15 #acm:83F05 #gr-qc #msc:83C05 #msc:83C15 #msc:83F05

paper · pdf · doi:10.48550/arxiv.2002.08654

3 pages, no figures

arxiv created 2020/02/20 · openalex publication_date 2020/02/20 · arxiv updated 2020/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A plane symmetric Bianchi I model is considered with constant deceleration parameter, q=α-1, where α≥0. The model with α=0 violates the NEC throughout the evolution, and hence provides a physically unrealistic scenario. The model with α≠0 obeys the NEC and WEC at late times, which shows that the models in this case can render a physical realistic cosmological scenario, though for a restricted period of time. It is also shown that the physical and kinematical behaviour of both models remain similar to an LRS Bianchi I model.

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