Motivated by recent developments in black hole thermodynamics, we investigate van der Waals phase transitions of charged holes massive gravity. We find that gravity theories can exhibit strikingly different thermodynamic behaviour compared to Einstein gravity, and the mass graviton generate a range new for topological are otherwise forbidden.

In this paper, we study massive gravity in the presence of Born-Infeld nonlinear electrodynamics. First, obtain metric function related to and investigate geometry solutions find that there is an essential singularity at origin (r = 0). It will be shown due contribution part, number, type place horizons may changed. Next, calculate conserved thermodynamic quantities check validation first law thermodynamics. We also thermal stability these black holes context canonical ensemble. phase...

In this paper, we consider linearly charged dilatonic black holes and study their thermodynamical behavior in the context of phase transitions thermodynamic geometry. We show that, depending on values parameters, these can undergo two types transition. also find that there are three critical behaviors near points for holes: nonphysical unstable to physical stable, large small, small black-hole transitions. Next, employ a metric geometry holes. characteristic Ricci scalar enables one...

In this paper, we present charged dilatonic black holes in gravity's rainbow. We study geometric and thermodynamic properties of hole solutions. also investigate the effects rainbow functions on different quantities for these Then, demonstrate that first law thermodynamics is valid After that, thermal stability solutions using canonical ensemble analyze stability. addition, some arguments regarding bound phase transition points context geometrical thermodynamics. extended space which...

Motivated by the energy representation of Riemannian metric, in this paper we study different approaches toward geometrical concept black hole thermodynamics. We investigate thermodynamical Ricci scalar Weinhold, Ruppeiner and Quevedo metrics show that their number location divergences do not coincide with phase transition points arisen from heat capacity. Next, introduce a new metric to solve these problems. denominator contains terms which types transitions. elaborate effectiveness...

Motivated by recent developments of BTZ black holes and interesting results massive gravity, we investigate in the presence Maxwell Born-Infeld (BI) electrodynamics. We study geometrical properties such as type singularity asymptotical behavior well thermodynamic structure solutions through canonical ensemble. show that despite existence term, obtained are asymptotically (a)dS have a curvature at origin. Then, regard varying cosmological constant examine Van der Waals like extended phase...

Violation of Lorentz invariancy in the high energy quantum gravity motivates one to consider an dependent spacetime with massive deformation standard general relativity. In this paper, we take into account metric context a model obtain exact solutions. We investigate geometry black hole solutions and also calculate conserved thermodynamic quantities, which are fully reproduced by analysis performed techniques. After examining validity first law thermodynamics, conduct study regarding effects...

Following an earlier study regarding Einstein–Gauss–Bonnet-massive black holes in the presence of a Born–Infeld nonlinear electromagnetic field (Hendi, arXiv:1510.00108 , 2016), we thermodynamical structure and critical behavior these through various methods this paper. Geometrical thermodynamics is employed to give picture phase transition holes. Next, new method used derive pressure radius horizon In addition, Maxwell equal area law Van der Waals like Moreover, exponents are calculated by...

Following an earlier study regarding Gauss-Bonnet-Maxwell black holes in the presence of gravity's rainbow [S. H. Hendi and M. Faizal, Phys. Rev. D 92, 044027 (2015)], this paper, we consider all constants as energy dependent ones. The geometrical thermodynamical properties generalization is studied validation first law thermodynamics examined. Next, through use proportionality between cosmological constant pressure, van der Waals--like behavior these extended phase space investigated. An...

Banados, Teitelboim, and Zanelli (BTZ) black holes are excellent laboratories for studying hole thermodynamics, which is a bridge between classical general relativity the quantum nature of gravitation. In addition, three-dimensional gravity could have equipped us exploring some ideas behind two-dimensional conformal field theory based on ${\mathrm{AdS}}_{3}/{\mathrm{CFT}}_{2}$. Considering significant interest in these regards, we examine charged BTZ holes. We consider system contains...

The paper at hand studies the heat engine provided by black holes in presence of massive gravity. main motivation is to investigate effects gravity on different properties engine. It will be shown that parameters and graviton's mass modify efficiency a significant level. Furthermore, it possible have for non-spherical we study topological factor Surprisingly, highest belongs with hyperbolic horizon, while lowest one spherical holes.

Motivated by low energy effective action of string theory and large applications BTZ black holes, we will consider minimal coupling between dilaton nonlinear electromagnetic fields in three dimensions. The main goal is studying thermodynamical structure holes this set up. Temperature heat capacity these are investigated a picture regarding their phase transitions given. In addition, the role importance mass highlighted. We see how different parameters modify quantities, hence holes....

Motivated by the recent interests in spin$-2$ massive gravitons, we study structure of neutron star context gravity. The modifications TOV equation presence gravity are explored $4$ and higher dimensions. Next, considering modern state for matter (which is extracted lowest order constrained variational (LOCV) method with AV$18$ potential), different physical properties (such as Le Chatelier's principle, stability energy conditions) investigated. It shown that consideration has specific...

Motivated by high interest in the close relation between string theory and black hole solutions, this paper, we take into account Einstein-Gauss-Bonnet Lagrangian context of massive gravity. We examine possibility regard, discuss types horizons. Next, calculate conserved thermodynamic quantities check validity first law thermodynamics. In addition, investigate stability these holes canonical ensemble. show that number, type place phase transition points may be significantly affected...

In this paper we consider three dimensional BTZ black holes with models of nonlinear electrodynamics as source. Calculating heat capacity, study the stability and phase transitions these holes. We show that Maxwell, logarithmic exponential theories yield only type one transition which is related to root(s) capacity. Whereas for correction form electrodynamics, capacity contains two roots divergence point. Next, use geometrical approach studying classical thermodynamical behavior system....

Motivated by the violation of Lorentz invariance in quantum gravity, we study black hole solutions gravity's rainbow context Einstein gravity coupled with various models nonlinear electrodynamics. We regard an energy dependent spacetime and obtain related metric functions electric fields. show that there is essential singularity at origin which covered event horizon. also compute conserved thermodynamical quantities examine validity first law thermodynamics presence functions. Finally,...

In this paper, we take into account the black hole solutions of Einstein gravity with logarithmic and exponential forms nonlinear electrodynamics. We consider $\Lambda$ as a dynamical pressure to study analogy holes Van der Waals system. plot P-v, T-v G-T diagrams investigate phase transition adS in canonical ensemble. nonlinearity effects electrodynamics see how power affects critical behavior. also dimensionality on values analyze its crucial role. Moreover, show changes universal ratio...

We study the thermodynamical structure of Einstein black holes in presence power Maxwell invariant nonlinear electrodynamics for two different cases. The behavior temperature and conditions regarding stability these are investigated. Since language geometry is an effective method general relativity, we concentrate on geometrical thermodynamics to build a phase space studying properties holes. In addition, taking into account denominator heat capacity, use proportionality between cosmological...

In this paper, we consider quadratic Maxwell invariant as a correction to the theory and study thermodynamic behavior of black holes in Einstein Gauss-Bonnet gravities. We cosmological constant pressure extend phase space. Next, obtain critical values case variation nonlinearity parameters. Although general thermodynamical hole solutions is same usual Van der Waals system, show that special nonlinear electromagnetic field, there will be turning point for diagrams not observed. This field...

In this paper, we consider Lovelock gravity in the presence of two Born–Infeld types nonlinear electrodynamics and study their thermodynamical behavior. We extend phase space by considering cosmological constant as a pressure. obtain critical values pressure, volume, temperature investigate effects both on these values. plot |$P$|–|$v$|⁠, |$T$|–|$v$|⁠, |$G$|–|$T$| diagrams to transitions systems. show that power nonlinearity have opposite effects. also how consideration constant,...

Multiphoton absorption is of vital importance in many spectroscopic, microscopic, or lithographic applications. However, given that it an inherently weak process, the detection multiphoton signals typically requires large field intensities, hindering its applicability practical situations. In this Letter, we show placing a absorbent inside imbalanced nonlinear interferometer can enhance precision cross section estimation with respect to strategies based on photon-number measurements using...

Motivated by recent progresses in the field of massive gravity, paper at hand investigates thermodynamical structure black holes with three specific generalizations: i) Gauss-Bonnet gravity which is motivated from string theory ii) PMI nonlinear electromagnetic perspective QED correction iii) obtaining modification standard general relativity. The exact solutions this setup are extracted interpreted as holes. In addition, quantities calculated and their critical behavior studied. It will be...

Motivated by providing preliminary steps to understand the conception of quantum gravity, in this paper, we study phase structure a semiclassical gravitational system. We investigate stability conditions and transition charged black holes massive gravity via canonical geometrical thermodynamic approaches. point out effects parameter on these show how coefficients affect points holes. also boundary topology thermodynamical behavior In addition, give some arguments regarding role higher...