Myrzakulov gravity in vielbein formalism: A study in Weitzenböck spacetime

The quest to understand the nature of gravity and its role in shaping the universe has led to the exploration of modified gravity theories. One of the pioneering contributions in this field is the Myrzakulov gravity theory, which incorporates both curvature and torsion. In this work, we investigate...

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Main Authors: Davood Momeni, Ratbay Myrzakulov
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321325001129
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author Davood Momeni
Ratbay Myrzakulov
author_facet Davood Momeni
Ratbay Myrzakulov
author_sort Davood Momeni
collection DOAJ
description The quest to understand the nature of gravity and its role in shaping the universe has led to the exploration of modified gravity theories. One of the pioneering contributions in this field is the Myrzakulov gravity theory, which incorporates both curvature and torsion. In this work, we investigate the effects of torsion within the framework of f(R,T)-gravity, a modification of General Relativity that incorporates both curvature and torsion.We present this theory in the Vielbein formalism, a covariant approach that provides a more flexible and geometric perspective on gravity, ensuring the theory's consistency under general coordinate transformations. This formalism is particularly powerful in the context of Weitzenböck spacetime, where torsion plays a significant role in the description of gravitational interactions. By studying f(R,T)-gravity in Vielbein formalism, we aim to extend the applicability of Myrzakulov's theory, providing a deeper understanding of its cosmological and astrophysical implications.We examine the profound effects of this theory on various astrophysical phenomena, including black holes, gravitational waves, and compact objects like neutron stars. By exploring how torsion modifies the behavior of these extreme systems, we uncover new avenues for testing gravity in the strong-field regime. Our results suggest that torsion could lead to observable deviations in black hole thermodynamics, gravitational wave propagation, and the structure of dense matter.The modifications we uncover have the potential to provide unprecedented insights into the nature of spacetime and gravity, offering a novel perspective on the fundamental forces that govern the cosmos. This work paves the way for future observational and theoretical studies that could reveal the deeper, hidden aspects of gravity, possibly rewriting our understanding of the universe's most enigmatic phenomena. Through both observational data and theoretical advancements, we present a compelling case for the exploration of f(R,T)-gravity as a powerful tool in the search for new physics beyond General Relativity.
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spelling doaj-art-34654f7c60834ba9a60c4c2292842e712025-08-20T02:18:50ZengElsevierNuclear Physics B0550-32132025-06-01101511690310.1016/j.nuclphysb.2025.116903Myrzakulov gravity in vielbein formalism: A study in Weitzenböck spacetimeDavood Momeni0Ratbay Myrzakulov1Northeast Community College, 801 E Benjamin Ave, Norfolk, NE 68701, USA; Centre for Space Research, North-West University, Potchefstroom 2520, South Africa; Corresponding author.Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana 010009, Kazakhstan; L. N. Gumilyov Eurasian National University, Astana 010008, KazakhstanThe quest to understand the nature of gravity and its role in shaping the universe has led to the exploration of modified gravity theories. One of the pioneering contributions in this field is the Myrzakulov gravity theory, which incorporates both curvature and torsion. In this work, we investigate the effects of torsion within the framework of f(R,T)-gravity, a modification of General Relativity that incorporates both curvature and torsion.We present this theory in the Vielbein formalism, a covariant approach that provides a more flexible and geometric perspective on gravity, ensuring the theory's consistency under general coordinate transformations. This formalism is particularly powerful in the context of Weitzenböck spacetime, where torsion plays a significant role in the description of gravitational interactions. By studying f(R,T)-gravity in Vielbein formalism, we aim to extend the applicability of Myrzakulov's theory, providing a deeper understanding of its cosmological and astrophysical implications.We examine the profound effects of this theory on various astrophysical phenomena, including black holes, gravitational waves, and compact objects like neutron stars. By exploring how torsion modifies the behavior of these extreme systems, we uncover new avenues for testing gravity in the strong-field regime. Our results suggest that torsion could lead to observable deviations in black hole thermodynamics, gravitational wave propagation, and the structure of dense matter.The modifications we uncover have the potential to provide unprecedented insights into the nature of spacetime and gravity, offering a novel perspective on the fundamental forces that govern the cosmos. This work paves the way for future observational and theoretical studies that could reveal the deeper, hidden aspects of gravity, possibly rewriting our understanding of the universe's most enigmatic phenomena. Through both observational data and theoretical advancements, we present a compelling case for the exploration of f(R,T)-gravity as a powerful tool in the search for new physics beyond General Relativity.http://www.sciencedirect.com/science/article/pii/S0550321325001129
spellingShingle Davood Momeni
Ratbay Myrzakulov
Myrzakulov gravity in vielbein formalism: A study in Weitzenböck spacetime
Nuclear Physics B
title Myrzakulov gravity in vielbein formalism: A study in Weitzenböck spacetime
title_full Myrzakulov gravity in vielbein formalism: A study in Weitzenböck spacetime
title_fullStr Myrzakulov gravity in vielbein formalism: A study in Weitzenböck spacetime
title_full_unstemmed Myrzakulov gravity in vielbein formalism: A study in Weitzenböck spacetime
title_short Myrzakulov gravity in vielbein formalism: A study in Weitzenböck spacetime
title_sort myrzakulov gravity in vielbein formalism a study in weitzenbock spacetime
url http://www.sciencedirect.com/science/article/pii/S0550321325001129
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