Abstract By considering the concept of modified Chaplygin gas (MCG) as a single fluid model unifying dark energy and matter, we construct static, spherically charged black hole (BH) solution in framework General Relativity. The P – V criticality anti-de Sitter (AdS) BH with surrounding MCG is explored context extended phase space, where negative cosmological constant operates thermodynamical pressure. This critical behavior shows that small/large transition analogous to van der Waals...

Abstract In this paper, we investigate the topological charge and conditions for existence of photon sphere in Kiselev-anti-de Sitter (AdS) black holes within gravity. Furthermore, establish their classifications. We employ two different methods based on Duan’s current ϕ -mapping theory viz analysis temperature generalized Helmholtz free energy to study classes our hole. Considering hole, discuss critical zero points (topological charges numbers) parameters. Our findings reveal that Kiselev...

This research paper presents a black hole solution with rational non-linear electrodynamics source in the Rastall gravity framework. The analyzes thermodynamic properties of normal phase space and explores its critical behavior. structure is examined using extended first law thermodynamics, cosmological constant $\Lambda$ serving as pressure $P$. isotherms exhibit van der Waals behavior at small values horizon $r_+$. also investigates Gibbs free energy finds two points pressures where...

We investigate some properties of a black hole in Horndeski gravity theory mimicking Einstein-Gauss-Bonnet (EGB) at $D \rightarrow 4$. Borrowing ideas from quasitopological gravities provide matter source dyonic fields, which the solution carries two charges, electric and magnetic, context EGB gravity. However, due to several limitations 4$, we consider can mimic The essential practice used this paper is electromagnetic quasinormal modes process, with goal discovering spectrum such an...

By implementing the concept of polytropic structures as a scalar field gas with dark energy-like behavior, we obtain static spherically symmetric black hole solution in framework general relativity. In this paper, study quasinormal modes, greybody bound process, shadow behaviors, and sparsity holes surrounding gas. Using Wentzel-Kramers-Brillouin approach, evaluate impact particular set parameters $(\xi, A)$ fixed setting index $n$ on oscillation frequency damping rate gravitational waves....

Abstract In this paper, we derive a novel Schwarzschild-like black hole (BH) solution describing static and asymptotically flat BH surrounded by dark matter (DM) halo with Dehnen-type density distribution in the surrounding environment. We investigate properties of obtained studying curvature energy conditions Einstein gravity. Furthermore, explore features embedded DM profile analyzing timelike geodesics particles along observable properties.

The Generalized Uncertainty Principle (GUP) stands out as a nearly ubiquitous feature in quantum gravity modeling, predicting the emergence of minimum length at Planck scale. Recently, it has been shown to modify area-law scaling Bekenstein-Hawking entropy, giving rise deformed Friedmann equations within Jacobson's approach. ensuing model incorporates GUP correction quintessence-like dark energy that supplements cosmological constant, influencing dynamics early Universe while aligning with...

Kalb-Ramond (KR) gravity is an intriguing model incorporating local Lorentz violation, and black hole (BH) solutions are known to exist. In this study, we investigate some crucial aspects of BHs endowed with a global monopole charge in the self-interacting KR field. Specifically, study quasinormal modes (QNMs) corresponding scalar, electromagnetic, gravitational perturbations; derive rigorous bounds for greybody factors (GBFs); examine sparsity Hawking radiation. The effects parameters...

Abstract In this paper, we investigate the thermodynamics and phase transitions of asymptotically anti-de Sitter black holes (BHs) in presence ModMax nonlinear electrodynamics (NLED) perfect fluid dark matter (PFDM). Combining effects theory, characterized by nonlinearity parameter $$\gamma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>γ</mml:mi> </mml:math> , PFDM, described $$\alpha <mml:mi>α</mml:mi> derive an exact solution for BH metric analyze its thermodynamic...

By applying the Newman–Janis Algorithm, we investigate optical behaviors of rotating Ayón–Beato–García black holes in four-dimensional Einstein Gauss–Bonnet Gravity. Exploiting Hamilton–Jacobi mechanism, first obtain needed null geodesic equations motion. We then provide analytic and numerical methods to study associated aspect for certain regions involved moduli space. Concretely, analyze examine shadow terms one-dimensional real closed curves. Particularly, find various shapes including...

The topology of black hole thermodynamics is a fascinating area study that explores the connections between thermodynamic properties and topological features holes. This paper has led to several significant findings: We successfully derive field equations for $F(R)$-Euler-Heisenberg theory, providing framework studying interplay modified gravity non-linear electromagnetic effects. obtain an analytical solution static, spherically symmetric, energy-dependent with constant scalar curvature....

In this paper, we investigate the topological charge and conditions for existence of photon sphere (PS) in Kiselev-AdS black holes within \(f(R, T)\) gravity. We employ two different methods based on Duan's current \(\phi\)-mapping theory viz analize temperature generalized Helmholtz free energy to study classes our hole. By considering mentioned hole, discuss critical zero points (topological charges numbers) parameters. Our findings reveal that Kiselev parameter \(\omega\) gravity...

Abstract This work investigates the phase structure of STU black holes with uniform charges by utilizing New Thermodynamic Geometry (NTG) approach. The study explores intriguing relationship between heat capacity transitions and curvature singularities, employing NTG formalism. analysis encompasses an examination along T − S Q Φ planes, a critical exponents, assessment hole stability. geometry is applied in both normal extended spaces, revealing valuable insights into thermodynamic behavior...

This research surveys the impact of flavor number parameter on a four-dimensional Black Hole (BH) solution in Einstein’s nonlinear sigma model-[Formula: see text] (NLSM) accordance with shadow, energy emission rate, sparsity, massless scalar, and electromagnetic quasinormal mode spectra. Related investigations are being carried out to explore influence parameter. In particular, findings show that shadow behavior rate antinomic processes view On other hand, [Formula: text]-NLSM BH’s modes...

Abstract In this work, we examine the optical behaviors and thermodynamic phase structures using shadow analysis for four <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi mathvariant="double-struck">S</mml:mi> </mml:mrow> mathvariant="double-struck">T</mml:mi> mathvariant="double-struck">U</mml:mi> </mml:math> black holes. The study is conducted cases of charge configurations on parameter space class="MJX-tex-calligraphic">M</mml:mi>...

Abstract In this study, we explore the corrected thermodynamics of non-linear magnetic charged anti-de Sitter (AdS) black holes surrounded by quintessence, incorporating thermal fluctuations and deriving thermodynamic potentials. We analyze effects corrections due to on various potentials, including enthalpy, Helmholtz free energy, Gibbs energy. Our results show significant impacts smaller holes, with first-order destabilizing them, while second-order enhance stability increasing parameter...