Non-Static Einstein-Rosen Universe in f(R, Lm) Gravitation Theory

Ali Kabak; Doğukan Taşer

Non-Static Einstein-Rosen Universe in f(R, Lm) Gravitation Theory

Abstract

We investigate a non-static Einstein-Rosen spacetime within the f(R, Lm) framework, adopting f(R, Lm) = 1/2 R + Lχ m with Lm = −p. Firstly, field equations for Einstein-Rosen spacetime is attained in f(R, Lm) theory. An exact solution is obtained without using any restrictions for the constructed model. The equation of state parameter is attained for the model, and it is found that the parameter χ has a direct influence on the structure of the matter distribution and plays a decisive role in determining whether the matter exhibits exotic or ordinary characteristics. Also, we investigated the energy conditions, kinematical quantities, and the statefinder diagnostic pair for the model. Overall, the results demonstrate that matter-geometry coupling through Lm = −p can mimic cosmic acceleration in an inhomogeneous, cylindrically symmetric setting without introducing an explicit dark energy field.

Keywords

Einstein-Rosen universe, f(R, Lm) theory, energy conditions

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Details

Primary Language

English

Subjects

General Relativity and Gravitational Waves, Mathematical Aspects of General Relativity

Journal Section

Research Article

Authors

Ali Kabak
0009-0007-7033-1015
Türkiye

Doğukan Taşer ^*
0000-0002-8622-6830
Türkiye

Publication Date

August 31, 2026

Submission Date

January 27, 2026

Acceptance Date

June 8, 2026

Published in Issue

Year 2026 Volume: 15 Number: 2

IZ

https://izlik.org/JA87EY93SN

APA

Kabak, A., & Taşer, D. (2026). Non-Static Einstein-Rosen Universe in f(R, Lm) Gravitation Theory. Journal of New Results in Science, 15(2), 173-181. https://izlik.org/JA87EY93SN

AMA

1.Kabak A, Taşer D. Non-Static Einstein-Rosen Universe in f(R, Lm) Gravitation Theory. JNRS. 2026;15(2):173-181. https://izlik.org/JA87EY93SN

Chicago

Kabak, Ali, and Doğukan Taşer. 2026. “Non-Static Einstein-Rosen Universe in F(R, Lm) Gravitation Theory”. Journal of New Results in Science 15 (2): 173-81. https://izlik.org/JA87EY93SN.

EndNote

Kabak A, Taşer D (August 1, 2026) Non-Static Einstein-Rosen Universe in f(R, Lm) Gravitation Theory. Journal of New Results in Science 15 2 173–181.

IEEE

[1]A. Kabak and D. Taşer, “Non-Static Einstein-Rosen Universe in f(R, Lm) Gravitation Theory”, JNRS, vol. 15, no. 2, pp. 173–181, Aug. 2026, [Online]. Available: https://izlik.org/JA87EY93SN

ISNAD

Kabak, Ali - Taşer, Doğukan. “Non-Static Einstein-Rosen Universe in F(R, Lm) Gravitation Theory”. Journal of New Results in Science 15/2 (August 1, 2026): 173-181. https://izlik.org/JA87EY93SN.

JAMA

1.Kabak A, Taşer D. Non-Static Einstein-Rosen Universe in f(R, Lm) Gravitation Theory. JNRS. 2026;15:173–181.

MLA

Kabak, Ali, and Doğukan Taşer. “Non-Static Einstein-Rosen Universe in F(R, Lm) Gravitation Theory”. Journal of New Results in Science, vol. 15, no. 2, Aug. 2026, pp. 173-81, https://izlik.org/JA87EY93SN.

Vancouver

1.Ali Kabak, Doğukan Taşer. Non-Static Einstein-Rosen Universe in f(R, Lm) Gravitation Theory. JNRS [Internet]. 2026 Aug. 1;15(2):173-81. Available from: https://izlik.org/JA87EY93SN