Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Abstract

Since the spontaneously broken of the Lorentz symmetry in the gravity theory with the non-minimally coupling between the Kalb-Ramond (KR) field (that acquires a nonzero vacuum expectation value) and the Einstein gravity, there exists the exactly static and spherically symmetric black holes solutions related with the Lorentz violating parameter. Based on this, we consider the corresponding black hole solution in the de-Sitter (dS) spacetime with the KR field and investigate the thermodynamic properties in the expanded phase space through introducing the interplay entropy between the black hole and cosmological horizons. Especially we analyze the effect of the Lorentz-violating parameter on the thermodynamic properties. Furthermore, the Lyapunov exponent and the shadow of these static and spherically symmetric black holes in this Lorentz-violating gravity theory are also investigated. These study will open a new perspective to probe the thermodynamics of black holes.

References in corpus (24)

• Quantum Gravity at a Lifshitz Point
• Calculating black hole shadows: Review of analytical studies
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Black Hole Solutions as Topological Thermodynamic Defects
• Black holes with a cosmological constant in bumblebee gravity
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Shear Viscosity from Effective Couplings of Gravitons
• Shadows of Sgr A${}^{\ast }$ Black Hole Surrounded by Superfluid Dark Matter Halo
• Static and spherically symmetric black holes in gravity with a background Kalb-Ramond field
• Static spherical vacuum solutions in the bumblebee gravity model
• QNMs of slowly rotating Einstein-Bumblebee Black Hole
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
• Electrically charged black holes in gravity with a background Kalb-Ramond field
• Quasinormal modes and greybody factor of a Lorentz-violating black hole
• Probing Phase Structure of Black Holes with Lyapunov Exponents
• Lyapunov Exponents and Phase Transitions of Born-Infeld AdS Black Holes
• Accretion of the Vlasov gas onto a Schwarzschild-like black hole
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Quantum tomography for collider physics: Illustrations with lepton pair production
• Aschenbach effect and circular orbits in static and spherically symmetric black hole backgrounds
• Phase Structures and Transitions of Quintessence Surrounding RN Black Holes in a Grand Canonical Ensemble
• Phase transition of non-linear charged Anti-de Sitter black holes
• Microstructure of Charged AdS Black Hole with Minimal Length Effects

Cited by in corpus (11)

• Shadow of slowly rotating Kalb-Ramond black holes
• Harvesting correlations from BTZ black hole coupled to a Lorentz-violating vector field
• Exact black hole solutions in gravity with a background Kalb-Ramond field
• Lyapunov Exponents, Phase Transitions, and Chaos Bound of ModMax AdS Black Holes
• Charged black holes in Kalb-Ramond gravity: Weak Deflection Angle, Shadow cast, Quasinormal Modes and Neutrino annihilation
• Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
• Lyapunov exponents, phase transition and chaos bound in Kerr-Newman AdS spacetime
• Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
• Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes
• Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties
• Black hole images as probes of thermodynamic evolution