SOME CONSEQUENCES OF NONSTANDARD LAGRANGIANS WITH TIME-DEPENDENT COEFFICIENTS IN GENERAL RELATIVITY

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EL NABULSI RAMI A.

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Journal Paper

Paper Information

Journal: JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL) Year:2013 | Volume:7 | Issue:- Page(s): 2-8

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Title

SOME CONSEQUENCES OF NONSTANDARD LAGRANGIANS WITH TIME-DEPENDENT COEFFICIENTS IN GENERAL RELATIVITY

Author(s)

EL NABULSI RAMI A. | Issue Writer Certificate

Keywords

NONSTANDARD LAGRANGIAN

MODIFIED GEODESIC EQUATION

FRW COSMOLOGY

Abstract

NONSTANDARD LAGRANGIANs entitled ‘nonnaturals’ by Arnold have recently gained increasing importance both in applied mathematics and in physical theories. These types of Lagrangians appear in some group of dissipative dynamical systems, and they play an important role in a number of field theories. However, the role of NONSTANDARD LAGRANGIANs in geometric theories like general relativity is still absent. In this communication, we would like to discuss the relevance of NONSTANDARD LAGRANGIANs in general relativity using the principles of calculus of variations. In fact, NONSTANDARD LAGRANGIANs came in different forms, features, and characteristics, depending on the nature of the dynamical problem under study. In this work, we will be concerned with time-dependent Lagrangians of the form L1+g (t). After deriving the MODIFIED GEODESIC EQUATION using the basic techniques of Riemannian differential geometry which will be used to axiomatize a large part of our work, we show that many interesting consequences will be raised accordingly when applied to FRW COSMOLOGY.

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APA: Copy

EL NABULSI, RAMI A.. (2013). SOME CONSEQUENCES OF NONSTANDARD LAGRANGIANS WITH TIME-DEPENDENT COEFFICIENTS IN GENERAL RELATIVITY. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), 7(-), 2-8. SID. https://sid.ir/paper/318763/en

Vancouver: Copy

EL NABULSI RAMI A.. SOME CONSEQUENCES OF NONSTANDARD LAGRANGIANS WITH TIME-DEPENDENT COEFFICIENTS IN GENERAL RELATIVITY. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL)[Internet]. 2013;7(-):2-8. Available from: https://sid.ir/paper/318763/en

IEEE: Copy

RAMI A. EL NABULSI, “SOME CONSEQUENCES OF NONSTANDARD LAGRANGIANS WITH TIME-DEPENDENT COEFFICIENTS IN GENERAL RELATIVITY,” JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), vol. 7, no. -, pp. 2–8, 2013, [Online]. Available: https://sid.ir/paper/318763/en

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