Finslerian analogue of the Schwarzschild–de Sitter space-time

Manjunatha, H.; Narasimhamurthy, S. K.; Srivastava, S. K.

doi:10.1007/s12043-023-02556-7

Cited by 7 publications

(4 citation statements)

References 59 publications

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“…The Finsler structure (3.1) is time-independent and identical to the static solution [60]. Therefore, the counterpart of Birkhoff's theorem exists in Finslerian gravity.…”

Section: Jcap04(2024)061mentioning

confidence: 96%

“…From the geodesic (2.2), it can be proven that the Finslerian structure F(x, dx dτ ) along the geodesic is constant [59,60].…”

Section: Jcap04(2024)061mentioning

confidence: 99%

“…Using (2.2), it is proved that the Finslerian metric is constant along the geodetic [60]. So, we investigated the geodesic analytical form of the Finslerian space-time with the symmetry of the Finslerian sphere based on particle energy and angular momentum along the geodesic (null or time-like) Finsler space-time.…”

Section: Jcap04(2024)061mentioning

confidence: 99%

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Black hole solutions with constant Ricci scalar in a model of Finsler gravity

Nekouee,

Narasimhamurthy,

Pacif

2024

J. Cosmol. Astropart. Phys.

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Ricci scalar being zero is equivalent to the vacuum field equation in Finsler space-time. The Schwarzschild metric can be concluded from the field equation's solution if the space-time conserves spherical symmetry. This research aims to investigate Finslerian Schwarzschild-de Sitter space-time. Recent studies based on Finslerian space-time geometric models are becoming more prevalent because the local anisotropic structure of space-time influences the gravitational field and gives rise to modified cosmological relations. We suggest a gravitational field equation with a non-zero cosmological constant in Finslerian geometry and apprehend that the presented Finslerian gravitational field equation corresponds to the non-zero Ricci scalar. In Finsler geometry, the peer of spherical symmetry is the Finslerian sphere. Assuming space-time to conserve the “Finslerian sphere” symmetry, the counterpart of the Riemannian sphere (Finslerian sphere) must have a constant flag curvature (λ). It is demonstrated that the Finslerian covariant derivative of the geometric part of the gravitational field equation is preserved under a condition using the Chern connection. According to the string theory, string clouds can be defined as a pool of strings made due to symmetry breaking in the universe's early stages. We find that for λ ≠ 1, this solution resembles a black hole surrounded by a cloud of strings. Furthermore, we investigate null and time-like geodesics for λ = 1. In this regard, the photon geodesics are obtained that are the closest paths to the photon sphere of the first photons visible at the black hole shadow limit. Also, circular orbit conditions are obtained for the effective potential.

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“…The Finsler structure (3.1) is time-independent and identical to the static solution [60]. Therefore, the counterpart of Birkhoff's theorem exists in Finslerian gravity.…”

Section: Jcap04(2024)061mentioning

confidence: 96%

“…From the geodesic (2.2), it can be proven that the Finslerian structure F(x, dx dτ ) along the geodesic is constant [59,60].…”

Section: Jcap04(2024)061mentioning

confidence: 99%

See 1 more Smart Citation

Black hole solutions with constant Ricci scalar in a model of Finsler gravity

Nekouee,

Narasimhamurthy,

Pacif

2024

J. Cosmol. Astropart. Phys.

Self Cite

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“…Expanding the scope within Finsler geometry, researchers like Nekouee et al [39] are unraveling cosmic mysteries using the Finsler-Randers (FR) metric. Additionally, attention has been directed towards the study of Finslerian Schwarzschild-de Sitter space-time, as highlighted in the research by Manjunatha et al [40]. This exploration resembles a process of peeling back the layers of the Universe through the lens of geometry.…”

Section: Introductionmentioning

confidence: 99%

Finslerian wormhole solution in the framework of modified gravity

Malligawad,

Narasimhamurthy,

Nekouee

et al. 2024

Phys. Scr.

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This article investigates the properties of a wormhole model in a speciﬁc gravity theory, namely f(Ric, T ) = Ric + 2λT . The wormhole solution is analyzed using an exponential shape function. The study examines various parameters, such as density, radial pressure, transverse pressure, equation-of-state parameters, and energy conditions, within the framework of deformed gravity. The research emphasizes the inﬂuence of the parameter λ on energy condition violations and the equilibrium state of the Finslerian wormhole solution. These eﬀects are attributed to anisotropic and hydrostatic forces present in modiﬁed gravity. The study demonstrates that the gravity model eﬀectively captures the characteristics of wormholes within the Finslerian space-time. Additionally, the identiﬁed features of the wormhole are utilized to visualize its structure by creating a three-dimensional representation of the embedded surface. In summary, this research contributes to understanding wormholes in modiﬁed gravity theories, highlighting the importance of the parameter λ in determining their behavior and properties.

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