Black Holes with Global Monopoles in 4D Noncommutative Einstein Gauss Bonnet Gravity

Abstract

In this work, we construct an exact spherically symmetric black hole solution with a global monopole in the context of four-dimensional noncommutative Einstein-Gauss-Bonnet gravity. We modeled the spacetime noncommutativity via a Lorentzian-smeared mass distribution. Then we study the horizon structure and find that this black hole can have two configurations: one degenerate horizon or no horizon, depending on the black hole parameters. We also analyze thermodynamics and thermal stability by computing the Hawking temperature, entropy, and heat capacity. Our analysis reveals that the Hawking temperature and entropy acquire corrections from the noncommutative parameter $\Theta$, the energy scale of symmetry breaking $\eta$, and the Gauss-Bonnet coupling constant $\alpha$. The heat capacity exhibits divergences that signal second-order phase transitions. Thereafter, we study the black hole shadow employing the null geodesics and the Hamiltonian-Jacobi equation. Our results show that the shadow decreases with increasing $\Theta$ or $\alpha$ and increases with increasing $\eta$. Finally, we analyze quasinormal modes or scalar perturbations, we compute them via the 6th-order WKB method, and compare them to the shadow radius methods in the eikonal limit.

arXiv comment19 page; 20 figures

References in corpus (49)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Geodesic stability, Lyapunov exponents and quasinormal modes
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Charged Black Holes in AdS Spaces in $4D$ Einstein Gauss-Bonnet Gravity
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• Shadow of five-dimensional rotating Myers-Perry black hole
• The innermost stable circular orbit and shadow in the novel $4D$ Einstein-Gauss-Bonnet gravity
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Connection between black-hole quasinormal modes and lensing in the strong deflection limit
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Gravitational lensing by black holes in the $4D$ Einstein-Gauss-Bonnet gravity
• A consistent theory of $D\to 4$ Einstein-Gauss-Bonnet gravity
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• A note on the novel 4D Einstein-Gauss-Bonnet gravity
• Quasinormal Modes of Black Holes Surrounded by Dark Matter and Their Connection with the Shadow Radius
• A model of radiating black hole in noncommutative geometry
• Effective scalar-tensor description of regularized Lovelock gravity in four dimensions
• Einstein gravity with Gauss-Bonnet entropic corrections
• Isotropic representation of noncommutative 2D harmonic oscillator
• Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''
• Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole
• Passage of radiation through wormholes of arbitrary shape
• Quasinormal modes of the electrically charged dilaton black hole
• Thin Accretion Disk around a four-dimensional Einstein-Gauss-Bonnet Black Hole
• Charged particle and epicyclic motions around $4D$ Einstein-Gauss-Bonnet black hole immersed in an external magnetic field
• Phase transition of AdS black holes in 4D EGB gravity coupled to nonlinear electrodynamics
• Dust collapse in 4D Einstein-Gauss-Bonnet gravity
• Regularized Lovelock gravity
• Constraining non-commutative space-time from GW150914
• Long life of Gauss-Bonnet corrected black holes
• A non commutative model for a mini black hole
• Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes
• Causality of black holes in 4-dimensional Einstein-Gauss-Bonnet-Maxwell theory
• Massive nonminimally coupled scalar field in Reissner-Nordström spacetime: Long-lived quasinormal modes and instability
• Limits on stellar structures in Lovelock theories of gravity
• Gravitational field of a slowly rotating black hole with phantom global monopole
• Equivalence of solutions between the four-dimensional novel and regularized EGB theories in a cylindrically symmetric spacetime
• Global Monopole in General Relativity
• Bernstein spectral method for quasinormal modes and other eigenvalue problems
• Non-Commutative Black Hole Algebra and String Theory from Gravity
• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• Global Monopoles in the Extended Gauss-Bonnet Gravity
• Charged 4D Einstein-Gauss-Bonnet Black Hole: Vacuum solutions, Cauchy Horizon, Thermodynamics
• Phantom RN-AdS black holes in noncommutative space
• Noncommutative wormhole in de Rham-Gabadadze-Tolley like massive gravity
• Eikonal quasinormal modes, photon sphere and shadow of a charged black hole in the 4D Einstein-Gauss-Bonnet gravity