Raychaudhuri Equation in K-essence Geometry: Conditional Singular and Non-Singular Cosmological Models

被引：17

作者：

Das, Surajit ^{[1
]}

Panda, Arijit ^{[2
,3
]}

Manna, Goutam ^{[3
]}

Ray, Saibal ^{[4
]}

机构：

[1] Cooch Behar Panchanan Barma Univ, Dept Phys, Vivekananda St, Cooch Behar 736101, West Bengal, India

[2] Raiganj Univ, Dept Phys, Raiganj 733134, West Bengal, India

[3] Prabhat Kumar Coll, Dept Phys, Purba Medinipur 721404, India

[4] GLA Univ, Ctr Cosmol Astrophys & Space Sci CCASS, Mathura 281406, Uttar Pradesh, India

来源：

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 2023年 / 71卷 / 4-5期

关键词：

FLRW Spacetime; k-essence geometry; raychaudhuri equation; HAWKING TEMPERATURE; DARK ENERGY; STATE; CONTEXT;

D O I：

10.1002/prop.202200193

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate how the Raychaudhuri equation behaves in the k-essence geometry. As far as we are concerned, both the early and current epochs of the universe are relevant to the k-essence theory. Here, we have studied the k-essence geometry using the Dirac-Born-Infeld (DBI) variety of non-standard action. The corresponding k-essence emergent spacetime is not conformally equivalent to the usual gravitational metric. We assume that the background gravitational metric is of the Friedmann-Lemaitre-Robertson-Walker (FLRW) type in this case. We have found that both the conditional singular and non-singular cosmological models of the universe through the modified Raychaudhuri equation are possible where we have used the spacetime as the flat k-essence emergent FLRW-type. We have also addressed the Focusing theorem and conditional caustic universe construction. These conditional effects are caused by the additional interactions that arise as a result of the coupling that exists between gravity and the k-essence scalar field.

引用

页数：10

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