Constructing Regular Lovelock Black Holes with degenerate vacuum and $\Lambda <0$, using the gravitational tension. Shadow analysis

Abstract

In \cite{Estrada:2024uuu}, a link between gravitational tension (GT) and energy density via the Kretschmann scalar (KS) was proposed to construct regular black holes (RBHs) in Pure Lovelock (PL) gravity. However, including a negative cosmological constant in PL gravity leads to a curvature singularity \cite{Cai:2006pq}. Here, we choose the coupling constants such that the Lovelock equations admit an $n$-fold degenerate AdS vacuum (LnFDGS), allowing us to construct an RBH with $\Lambda <0$, where the energy density is analogous to the previously mentioned model. To achieve this, we propose alternative definitions for both the KS and GT. We find that, for mass parameter values greater than the extremal value $M_{\text{min}}$, our RBH solution becomes indistinguishable from the AdS vacuum black hole from inside the event horizon out to infinity. At small scales, quantum effects modify the geometry and thermodynamics, removing the singularity. Furthermore, due to the lack of analytical relationships between the event horizon, photon sphere, and shadow in LnFDGS, we propose a numerical method to represent these quantities.

arXiv commentaccepted in Universe

References in corpus (36)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Noncommutative geometry inspired Schwarzschild black hole
• First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• Cosmological reconstruction of realistic modified F(R) gravities
• Hunting for extra dimensions in the shadow of M87*
• Black Hole Scan
• Black Holes in f(R) theories
• The Lovelock Black Holes
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• Black holes with topologically nontrivial AdS asymptotics
• Black Holes in Pure Lovelock Gravities
• Conserved Charges for Even Dimensional Asymptotically AdS Gravity Theories
• A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework
• The Lovelock gravity in the critical spacetime dimension
• A Lovelock black hole bestiary
• Constraints on tidal charge of the supermassive black hole at the Galactic Center with trajectories of bright stars
• The Value of the Cosmological Constant
• Regular black holes and its thermodynamics in Lovelock gravity
• Thermodynamical phases of a regular SAdS black hole
• Superentropic AdS Black Hole Shadows
• Gravitational Pair Production and Black Hole Evaporation
• Black hole evaporation in Lovelock gravity with diverse dimensions
• Delaying the Inevitable: Tidal Disruption in Microstate Geometries
• Dymnikova-Schwinger traversable wormholes
• Regular black holes with $\Lambda >0$ and its evolution in Lovelock gravity
• Pure Lovelock Gravity regular black holes
• Black hole shadow and acceleration bounds for spherically symmetric spacetimes
• Gravitational Decoupling algorithm modifies the value of the conserved charges and thermodynamics properties in Lovelock Unique Vacuum theory
• Quantum-corrected Schwarzschild AdS black hole surrounded by quintessence: Thermodynamics and Shadows
• Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry
• An alternative study about the geometry and the first law of thermodynamics for AdS Lovelock gravity, using the definition of conserved charges
• A study about black hole solutions with nonconstant transversal curvature and its conserved charges in Lovelock gravity

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