Application of Symmetry in Gravity Researches

Dear Colleagues,

The approximation symmetry approach plays an important role in evaluating the exact solutions of the differential equations. The Noether symmetries, in particular, are not only a mechanism for dealing with the solution of the dynamic, but their presence also provides suitable conditions so that one can specify the universe models under the gravitational framework physically and analytically, according to our recent observations. Such symmetries are believed to be an appropriate mathematical approach, which often investigates the exact solutions and computes the associated conserved and required quantities. The method based on the symmetries plays a central role in reducing the non-linear equation to a linear equation system. The numerous conservation principles, such as conservation of energy and angular momentum, are specifically linked to the symmetries of a specified dynamical system and provide the conserved quantities, which seem to be the consequence of the certain type of symmetry being present in that mechanism. The current cosmic accelerated expansion has always been considered to be the most revolutionizing reality on the landscape of theoretical and observational modern cosmology. In order to take into account the late-time accelerated expansion, two main approaches have been proposed: the existence of dark energy, which exhibits strong negative pressure, and modified theories of gravity. Motivated by the aforementioned discussion, our focus is to collect good research papers admitting symmetries in the frame of gravity studies. Some potential topics are listed below, but submissions should not be limited to these topics:

• Cosmology via symmetries;
• Geometric nature of symmetries;
• Probe the nature of dark energy in the framework of symmetries;
• Symmetries in the higher-order gravity theory;
• Symmetries as a geometric criterion;
• Spherically symmetric solutions via symmetries;
• Dynamical symmetries;
• Reconstruction of the Lagrangian;
• Physical significance of symmetries;
• Symmetries of geodesic equations;
• Non-local curvature and symmetries;
• Symmetries and conservation laws;
• Symmetries in extended gravity;
• Astrophysical compact objects and symmetries.

Dr. Ghulam Mustafa
Dr. S.K. Maurya
Prof. Dr. Saibal Ray
Guest Editors

Manuscript Submission Information

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