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A Note on Lie Algebra of Killing Vector Fields of Locally Rotationally Symmetric Bianchi Type-I Spacetime in f(Q)-Gravity

Year: 2024

Type: article

Abstract: The goal of this paper is to derive the Lie algebra of Killing vector fields for the locally rotationally symmetric Bianchi type-I spacetime within the framework of f(Q) gravity, where f(Q) gravity is a modified gravitational theory that extends General Relativity by introducing a function of the non-metricity tensor Q to explore alternative models of gravity. To achieve this, various algebraic methods and direct integration techniques are employed. Different metric functions are analyzed, and the associated Killing vectors are determined for each case. It is observed that the spacetime under investigation can support either4, 6, or 10 Killing vector fields.

Source: Scholars Bulletin

DOI: 10.36348/sb.2024.v10i10.001

Authors: Fakhar Alam, Muhammad Ramzan, Muhammad Arslan Rafiq Khokhar, Sajid Ali, Muhammad Kashif, Sofia Batool

Institutions: Islamia University of Bahawalpur, Bahauddin Zakariya University, University of Agriculture Faisalabad, University of Narowal

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4405384772

FWCI:

Cites: 16

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Related to: 10