2023
DOI: 10.1088/1361-6382/ace231
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The classical and quantum implications of the Raychaudhuri equation in f(T)-gravity

Abstract: The present work deals with the classical and quantum aspects of the Raychaudhuri equation in the framework of f(T)-gravity theory. In the background of homogeneous and isotropic Friedmann–Lemaître–Robertson-Walker space-time, the Raychaudhuri equation has been formulated and used to examine the focusing theorem and convergence condition for different choices of f(T). Finally in quantum cosmology, the wave function of the universe has been shown to be the energy eigen function of the time-independent Schröding… Show more

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Cited by 10 publications
(3 citation statements)
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“…The general form of the Raychuadhuri equation (RE) for a congruence of time-like geodesics in an (n + 1)dimensional space-time takes the form [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26],…”
Section: Focusing Theorem In Terms Of Cosmic Parametersmentioning
confidence: 99%
See 1 more Smart Citation
“…The general form of the Raychuadhuri equation (RE) for a congruence of time-like geodesics in an (n + 1)dimensional space-time takes the form [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26],…”
Section: Focusing Theorem In Terms Of Cosmic Parametersmentioning
confidence: 99%
“…see [15][16][17][18][19][20][21]. The importance of RE lies not only in the singularity analysis in Einstein gravity but also in extended theories of gravity [22][23][24]. Analog Raychaudhuri equation in mechanics has been studied in [25,26].…”
Section: Introductionmentioning
confidence: 99%
“…Since in other extended theories of gravity the field equations are different so there may arise certain conditions under which the avoidance of singularity is possible. In this context RE and modified CC has been studied in f (R) gravity with inhomogeneous background [26], f (T ) gravity in homogeneous background [27], scalar tensor theory [28] etc. and certain physical conditions have been determined for the possible avoidance of singularity.…”
Section: Introductionmentioning
confidence: 99%