Form Invariance of Raychaudhuri Equation in the Presence of Inflaton-Type Fields

IF 5.6 3区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Arijit Panda, Debashis Gangopadhyay, Goutam Manna
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引用次数: 0

Abstract

We show that the Raychaudhuri equation (RE) remains form invariant for certain solutions of scalar fields ϕ $\phi$ whose Lagrangian is non-canonical and of the form L ( X , ϕ ) = V ( ϕ ) F ( X ) $\mathcal {L}(X,\phi)=-V(\phi)F(X)$ , with X = 1 2 g μ ν μ ϕ ν ϕ $X=\frac{1}{2} g_{\mu \nu } \nabla ^{\mu }\phi \nabla ^{\nu } \phi$ and V ( ϕ ) $V(\phi)$ the potential. Solutions exist for both homogeneous and inhomogeneous fields that are like inflatons. Certain recent observations indicate that the cosmos is inhomogeneous and thus their results are in sync with latest observations. So the RE can accommodate primordial inhomogeneities as well as cosmologically relevant scenarios.

存在膨胀子型场时雷乔杜里方程的形式不变性
我们证明了雷乔杜里方程(Raychaudhuri equation,RE)对于某些拉格朗日为非调和形式的标量场的解保持形式不变性。同质场和非同质场都存在类似充气子的解。最近的一些观测结果表明,宇宙是不均匀的,因此它们的结果与最新的观测结果是一致的。因此,RE 可以容纳原始的不均匀性以及宇宙学上的相关情景。
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来源期刊
CiteScore
6.70
自引率
7.70%
发文量
75
审稿时长
6-12 weeks
期刊介绍: The journal Fortschritte der Physik - Progress of Physics is a pure online Journal (since 2013). Fortschritte der Physik - Progress of Physics is devoted to the theoretical and experimental studies of fundamental constituents of matter and their interactions e. g. elementary particle physics, classical and quantum field theory, the theory of gravitation and cosmology, quantum information, thermodynamics and statistics, laser physics and nonlinear dynamics, including chaos and quantum chaos. Generally the papers are review articles with a detailed survey on relevant publications, but original papers of general interest are also published.
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