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Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
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A Comprehensive Analysis of Hyperbolical Fluids in Modified Gravity
Z Yousaf1, M Z Bhatti1, Maxim Khlopov2,3,4
1Department of Mathematics, Quaid-i-Azam Campus, University of the Punjab, Lahore 54590, Pakistan.
Entropy (Basel, Switzerland)
|February 25, 2022
Summary
This study explores static, irrotational matter with hyperbolic symmetry using metric f(R) gravity. Findings reveal an empty core and negative effective energy density, potentially impacting quantum field theory.
Area of Science:
- Cosmology
- General Relativity
- Modified Gravity Theories
Background:
- Understanding the behavior of matter under extreme conditions is crucial in cosmology.
- Metric f(R) gravity offers an alternative framework to Einstein's theory for exploring gravitational phenomena.
Purpose of the Study:
- To investigate the characteristics of static irrotational matter with hyperbolic symmetry within metric f(R) gravity.
- To analyze the implications of such matter distributions for cosmological models and quantum field events.
Main Methods:
- Employing metric f(R) gravity to analyze matter content.
- Utilizing orthogonal splitting of the Riemann tensor to derive structure scalars.
- Developing two generating functions to study cosmological models.
Main Results:
- Identified an empty core in the matter distribution due to hyperbolic symmetry.
- Calculated an inevitably negative effective energy density.
- Established relationships between matter variables and Tolman/Misner Sharp quantities.
Conclusions:
- The presence of an empty core and negative energy density in hyperbolic symmetric models has significant implications for modified gravity.
- Metric f(R) gravity provides a framework to study complex cosmological scenarios beyond standard Einstein gravity.
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