الفيزياء النظرية

العناصر 2

الفيزياء النظرية

Characteristics of magnetohydrodynamic waves propagating in a magnetized relativistic degenerate plasma

Yusra A. A. Hager، Mahmood A. H. Khaled، Mohamed A. Shukri (المؤلف)

2023-12-21

DOI: 10.59628/jast.v1i4.583

الملخص

A linear analysis was performed to investigate the basic properties of waves propagating in different directions in magnetized quantam plasma consisting of classical warm ions and relativistic degenerate electrons. We employ a quantum magnetohydrodynamic approach considering quantum corrections, spin effects in addition to relativity, and a polytropic index to obtain a generalized dispersion relation of the regarded plasma system. The considered system supports three types of magnetohydrodynamic waves: Alfven, fast, and slow magnetosonic waves. The obtained modified Alfven and magnetosonic dispersion relations are affected by the obliqueness factor, spin magnetization, and plasma beta .The fast and slow modes were also altered owing to the Bohm potential and relativistic degenerate pressure impacts. Examination of the influences of these parameters revealed a significant modification of the phase velocity features of the magnetohydrodynamic waves. The results obtained may be applicable to relativistic magnetized quantum plasmas in astrophysical environments.

الكلمات المفتاحية

Magnetohydrodynamic waves Relativistic degenerate plasma Alfven waves Magnetosonic waves QuantamMagnetohydrodynamic model
كيفية الاقتباس
Yusra A. A. Hager، Mahmood A. H. Khaled، Mohamed A. Shukri (المؤلف) (2023). Characteristics of magnetohydrodynamic waves propagating in a magnetized relativistic degenerate plasma. مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا. DOI: https://doi.org/10.59628/jast.v1i4.583

Yusra A. A. Hager، Mahmood A. H. Khaled، Mohamed A. Shukri (المؤلف). “Characteristics of magnetohydrodynamic waves propagating in a magnetized relativistic degenerate plasma.” مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا, 2023, https://doi.org/10.59628/jast.v1i4.583. Accessed 20 سبتمبر. 2026.

Yusra A. A. Hager، Mahmood A. H. Khaled، Mohamed A. Shukri (المؤلف). 2023. “Characteristics of magnetohydrodynamic waves propagating in a magnetized relativistic degenerate plasma.” مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا DOI: https://doi.org/10.59628/jast.v1i4.583

Yusra A. A. Hager، Mahmood A. H. Khaled، Mohamed A. Shukri (المؤلف) (2023) ‘Characteristics of magnetohydrodynamic waves propagating in a magnetized relativistic degenerate plasma’, مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا. doi: 10.59628/jast.v1i4.583

@article{jast2023_art583, author = {Yusra A. A. Hager، Mahmood A. H. Khaled، Mohamed A. Shukri (المؤلف)}, title = {Characteristics of magnetohydrodynamic waves propagating in a magnetized relativistic degenerate plasma}, journal = {مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا}, year = {2023}, month = {ديسمبر}, doi = {10.59628/jast.v1i4.583}, url = {https://doi.org/10.59628/jast.v1i4.583},}

تم نسخ الاقتباس!
التواصل مع المؤلفين

Characteristics of magnetohydrodynamic waves propagating in a magnetized relativistic degenerate plasma

Yusra A. A. Hager المؤلف المراسل hager22013@gmail.com

تم نسخ البريد الإلكتروني!
On the Connection Between Lovelock Gravity and the Poincaré-Hopf Index

Obidah Ali A. Alshrafi، Mohammed S. Qusailah، Mohamed K. Al-Motawake، Abdu A. Alkelly (المؤلف)

1315-1322

2025-12-28

DOI: 10.59628/jast.v3i6.2041

الملخص

This study explores a novel conceptual link between the dynamics of Lovelock gravity and the topological structure of spacetime. We introduce a theoretical framework in which the gravitational action—particularly in Lovelock theories is connected to the sum of topological indices of a vector field defined on the spacetime manifold, consistent with the Poincaré-Hopf theorem. Specifically, we propose that the value of the pth-order Lovelock action, recognized as a topological invariant in 2p dimensions, corresponds to the sum of indices associated with topological defects such as black hole horizons or spacetime singularities. Although the explicit construction of this vector field is left for future work, we present a foundational formulation and demonstrate its implications using the Schwarzschild solution, where the index sum reproduces the known Euler characteristic. This approach offers a topologically grounded perspective on gravitational dynamics and suggests new directions for understanding the geometric and physical properties of spacetime.

الكلمات المفتاحية

Lovelock gravity spacetime Poincaré-Hopf theorem black hole horizon spacetime singularities Schwarzschild solution Euler characteristic
كيفية الاقتباس
Obidah Ali A. Alshrafi، Mohammed S. Qusailah، Mohamed K. Al-Motawake، Abdu A. Alkelly (المؤلف) (2025). On the Connection Between Lovelock Gravity and the Poincaré-Hopf Index. مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا, 1315-1322. DOI: https://doi.org/10.59628/jast.v3i6.2041

Obidah Ali A. Alshrafi، Mohammed S. Qusailah، Mohamed K. Al-Motawake، Abdu A. Alkelly (المؤلف). “On the Connection Between Lovelock Gravity and the Poincaré-Hopf Index.” مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا, 2025, pp. 1315-1322. https://doi.org/10.59628/jast.v3i6.2041. Accessed 20 سبتمبر. 2026.

Obidah Ali A. Alshrafi، Mohammed S. Qusailah، Mohamed K. Al-Motawake، Abdu A. Alkelly (المؤلف). 2025. “On the Connection Between Lovelock Gravity and the Poincaré-Hopf Index.” مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا : 1315-1322. DOI: https://doi.org/10.59628/jast.v3i6.2041

Obidah Ali A. Alshrafi، Mohammed S. Qusailah، Mohamed K. Al-Motawake، Abdu A. Alkelly (المؤلف) (2025) ‘On the Connection Between Lovelock Gravity and the Poincaré-Hopf Index’, مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا, pp. 1315-1322. doi: 10.59628/jast.v3i6.2041

@article{jast2025_art2041, author = {Obidah Ali A. Alshrafi، Mohammed S. Qusailah، Mohamed K. Al-Motawake، Abdu A. Alkelly (المؤلف)}, title = {On the Connection Between Lovelock Gravity and the Poincaré-Hopf Index}, journal = {مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا}, year = {2025}, month = {ديسمبر}, pages = {1315-1322}, doi = {10.59628/jast.v3i6.2041}, url = {https://doi.org/10.59628/jast.v3i6.2041},}

تم نسخ الاقتباس!
التواصل مع المؤلفين

On the Connection Between Lovelock Gravity and the Poincaré-Hopf Index

Obidah Ali A. Alshrafi المؤلف المراسل obidah.alsharfi@su.edu.ye

Abdu A. Alkelly obidah.alsharfi@su.edu.ye

إرسال لجميع المؤلفين

تم نسخ البريد الإلكتروني!