Symmetries of locally rotationally symmetric Bianchi type V spacetime

Khan, Jamshed; Hussain, T.; Mlaiki, Nabil; Fatima, Nahid

doi:10.1016/j.rinp.2022.106143

Cited by 3 publications

(2 citation statements)

References 25 publications

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“…(I) System ( 6) is one of symmetry according to the dimension of (6) share the same structure with the ones in system (5), and all the equilibria in system (6) have the same stabilities with those of system (5).…”

Section: Offset Boosting For Symmetric Pairs Of Strange Attractorsmentioning

confidence: 99%

“…A cyclic symmetric conservative chaotic system can also be constructed with offset boosting [5]. Rotational symmetry has its specific detection method [6,7], and symmetry breaking exists commonly in dynamical systems [8]. When some of the variables are polarity reversed, the system outputs the symmetric attractor without any influence or even gives symmetric pairs of attractors.…”

Section: Introductionmentioning

confidence: 99%

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Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Jiang

et al. 2023

Symmetry

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A comprehensive review of symmetry and conditional symmetry is made from the core conception of symmetry and conditional symmetry. For a dynamical system, the structure of symmetry means its robustness against the polarity change of some of the system variables. Symmetric systems typically show symmetrical dynamics, and even when the symmetry is broken, symmetric pairs of coexisting attractors are born, annotating the symmetry in another way. The polarity balance can be recovered through combinations of the polarity reversal of system variables, and furthermore, it can also be restored by the offset boosting of some of the system variables if the variables lead to the polarity reversal of their functions. In this case, conditional symmetry is constructed, giving a chance for a dynamical system outputting coexisting attractors. Symmetric strange attractors typically represent the flexible polarity reversal of some of the system variables, which brings more alternatives of chaotic signals and more convenience for chaos application. Symmetric and conditionally symmetric coexisting attractors can also be found in memristive systems and circuits. Therefore, symmetric chaotic systems and systems with conditional symmetry provide sufficient system options for chaos-based applications.

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Section: Offset Boosting For Symmetric Pairs Of Strange Attractorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Jiang

et al. 2023

Symmetry

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Ricci Soliton Vector Fields of a Sub-Class of Perfect Fluid Bianchi Type-I Spacetimes in f(T) Theory of Gravity

Gul,

Ali,

Khan

et al. 2024

Int J Theor Phys

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Noether symmetries and conservation laws in some analytic spherically symmetric spacetimes of f(R, L _m) gravity

Dalal,

Singh,

Kumar

et al. 2024

Phys. Scr.

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In general relativity, dark energy is usually illustrated by a cosmological constant(Λ), but f (R, Lm ) gravity provides a different approach to cosmic acceleration by modifying the gravitational theory. In the present paper, the non-static spherically symmetric spacetimes have been derived by taking into account f(R,Lm) = f1(R) + H(Lm)f2(R). Lie symmetry approach is operated to reduce the order of the partial differential equations corresponding to the field equations, which are further solved. Killing and Noether symmetries provides insights into the conservation laws. So, the obtained spacetimes have been investigated to obtain the Killing and Noether symmetries. The Lagrangian approach have been used to obtain the Noether symmetries. This study is well-structured, as it provides a justification for the well-established result that Noether symmetries encompass Killing symmetries[1]. Also the conserved quantities and commutators of Noether symmetries have been calculated.

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Symmetries of locally rotationally symmetric Bianchi type V spacetime

Cited by 3 publications

References 25 publications

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Ricci Soliton Vector Fields of a Sub-Class of Perfect Fluid Bianchi Type-I Spacetimes in f(T) Theory of Gravity

Noether symmetries and conservation laws in some analytic spherically symmetric spacetimes of f(R, L _m) gravity

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Symmetries of locally rotationally symmetric Bianchi type V spacetime

Cited by 3 publications

References 25 publications

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

Ricci Soliton Vector Fields of a Sub-Class of Perfect Fluid Bianchi Type-I Spacetimes in f(T) Theory of Gravity

Noether symmetries and conservation laws in some analytic spherically symmetric spacetimes of f(R, L m ) gravity

Contact Info

Product

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Noether symmetries and conservation laws in some analytic spherically symmetric spacetimes of f(R, L _m) gravity