Black Hole Solutions with Anisotropic Fluid in f(T,T) Gravity: Exploring Extensions of Kiselev Black Holes

Core Concepts

This research paper explores new black hole solutions in f(T,T) gravity, a modified theory of gravity, by extending the concept of Kiselev black holes to include anisotropic fluids and analyzing their physical properties, including energy conditions, mass, horizons, and Hawking temperature.

Abstract

• Bibliographic Information: da Silva, F.M., Santos, L.C.N., & Bezerra, V.B. (2024). Black hole solutions surrounded by anisotropic fluid in f(T,T) gravity. arXiv preprint arXiv:2405.20966v2.

• Research Objective: This study aims to investigate the impact of f(T,T) gravity on black hole solutions by considering the presence of an anisotropic fluid surrounding the black hole, extending the work of Kiselev in General Relativity.

• Methodology: The authors employ a mapping technique to connect the Kiselev energy-momentum tensor to an anisotropic fluid energy-momentum tensor. They then solve the modified field equations in f(T,T) gravity, assuming a specific form of the function f(T,T) and a spherically symmetric spacetime.

• Key Findings:

  • The research derives a new analytical solution for a black hole surrounded by an anisotropic fluid in f(T,T) gravity, generalizing the Kiselev black hole solution.
  • The solution demonstrates that the modified gravity theory introduces additional terms to the spacetime metric, influencing the black hole's geometry.
  • The study analyzes the energy conditions for the anisotropic fluid and finds that they are satisfied for specific values of the equation of state parameter (ω), indicating the physical viability of the solutions.
  • The authors calculate the black hole's mass, horizons, and Hawking temperature, revealing the impact of the modified gravity and the anisotropic fluid on these properties.
  • The research examines special cases for different values of ω, including radiation, dust, cosmological constant, quintessence, and phantom fields, highlighting the distinct behaviors exhibited in each scenario.

• Main Conclusions:

  • The study successfully extends the Kiselev black hole solution to the framework of f(T,T) gravity, demonstrating the theory's potential to provide new insights into black hole physics.
  • The presence of the anisotropic fluid and the modified gravity significantly affects the black hole's physical properties, including its geometry, thermodynamics, and energy conditions.
  • The research underscores the importance of considering modified gravity theories and the surrounding environment when studying black holes.

• Significance: This research contributes to the understanding of black holes in modified theories of gravity, particularly in f(T,T) gravity, and highlights the role of anisotropic fluids in shaping their properties. The findings have implications for the study of black hole thermodynamics, cosmology, and the search for deviations from General Relativity.

• Limitations and Future Research:

  • The study assumes a specific form of the f(T,T) function, and exploring other functional forms could reveal further insights.
  • The research focuses on static, spherically symmetric black holes, and investigating rotating or more general spacetimes would be valuable.
  • Future work could involve studying the accretion processes and observational signatures of these black hole solutions in astrophysical settings.

Stats

ω = 1/3 represents a black hole surrounded by a radiation field.
ω = 0 corresponds to a black hole surrounded by a dust field.
ω = -1 describes a black hole surrounded by a cosmological constant field.
ω = -2/3 represents a black hole surrounded by a quintessence field.
ω = -4/3 corresponds to a black hole surrounded by a phantom field.
λ represents the coupling constant of the f(T,T) gravity theory.

Quotes

Key Insights Distilled From

Black hole solutions surrounded by anisotropic fluid in f(T,T) gravity

by Franciele M.... at arxiv.org 11-12-2024

https://arxiv.org/pdf/2405.20966.pdf