Focusing of world-lines in Weyl gravity

Morteza Mohseni; Mohsen Fathi

doi:10.1140/epjp/i2016-16021-y

Focusing of world-lines in Weyl gravity

Morteza Mohseni
, Mohsen Fathi

Payame Noor University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We study the evolution of time-like congruences in the vacuum solutions of Weyl conformal theory of gravity. Using the Raycaudhuri equation, we show that for positive values of the coefficient of the linear term in the solution and in the absence of the cosmological constant, the incoming rays converge. The evolution of the congruence for negative values is investigated for different values of the parameters. The behavior of the congruence under conformal transformations is also studied.

Original language	English
Article number	21
Pages (from-to)	1-7
Number of pages	7
Journal	European Physical Journal Plus
Volume	131
Issue number	2
DOIs	https://doi.org/10.1140/epjp/i2016-16021-y
State	Published - 1 Feb 2016
Externally published	Yes

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title = "Focusing of world-lines in Weyl gravity",

abstract = "We study the evolution of time-like congruences in the vacuum solutions of Weyl conformal theory of gravity. Using the Raycaudhuri equation, we show that for positive values of the coefficient of the linear term in the solution and in the absence of the cosmological constant, the incoming rays converge. The evolution of the congruence for negative values is investigated for different values of the parameters. The behavior of the congruence under conformal transformations is also studied.",

author = "Morteza Mohseni and Mohsen Fathi",

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AU - Mohseni, Morteza

AU - Fathi, Mohsen

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N2 - We study the evolution of time-like congruences in the vacuum solutions of Weyl conformal theory of gravity. Using the Raycaudhuri equation, we show that for positive values of the coefficient of the linear term in the solution and in the absence of the cosmological constant, the incoming rays converge. The evolution of the congruence for negative values is investigated for different values of the parameters. The behavior of the congruence under conformal transformations is also studied.

AB - We study the evolution of time-like congruences in the vacuum solutions of Weyl conformal theory of gravity. Using the Raycaudhuri equation, we show that for positive values of the coefficient of the linear term in the solution and in the absence of the cosmological constant, the incoming rays converge. The evolution of the congruence for negative values is investigated for different values of the parameters. The behavior of the congruence under conformal transformations is also studied.

UR - https://www.scopus.com/pages/publications/84956475187

U2 - 10.1140/epjp/i2016-16021-y

DO - 10.1140/epjp/i2016-16021-y

M3 - Article

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VL - 131

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JO - European Physical Journal Plus

JF - European Physical Journal Plus

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Focusing of world-lines in Weyl gravity

Abstract

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