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In this paper, we studied the thermodynamic behavior of generalized warp factor for the corresponding AdS metric background. To discuss the stability of the theory we studied thermodynamical properties of generalized metric background. Here also to obtain the quantity of sound for the measure of stability of the system, we need to calculate the energy density and pressure. Such parameters of sound for the properties of stability constrain some conditions on the corresponding theory as [theta]. We used the corresponding conditions and rewrite the action of theory. The new action give us opportunity to study the AdS black hole and thermally charged AdS black hole. Key words: stability, AdS black hole, thermally charged AdS, generalized warp factors. Nous etudions le comportement thermodynamique d'un facteur de distorsion generalise pour le fond metrique AdS correspondant. Pour pouvoir discuter la stabilite de la theorie, nous etudions les proprietes thermodynamiques du fond metrique generalise. De plus, afin d'obtenir la quantite d'energie sonore pour la mesure de stabilite du systeme, nous devons calculer la densite d'energie et la pression. De tels parametres du son pour les proprietes de stabilite imposent des conditions sur la theorie correspondante comme [theta]. Nous utilisons ces conditions pour recrire l'action de la theorie. La nouvelle action nous donne l'opportunite d'etudier le trou noir AdS et le trou noir AdS avec une charge thermique. [Traduit par la Redaction] Mots-cles: stabilite, trou noir AdS, trou noir AdS avec charge thermique, facteur de distorsion generalise., 1. Introduction As we know, the gauge-gravity duality plays an important role in strongly coupled systems near critical points. Because of this, the corresponding system has a scaling symmetry [1]. [...]

Within the methods of the real and the imaginary potential for investigating the melting of a heavy quarkonium in the AdS/CFT correspondence, we study the effects of the dynamical exponent, the hyperscaling violation parameter, and the Yang-Mills charge on both methods in the hyperscaling violated Yang-Mills-dilaton metric background. In the real part of the potential, we find out that the dynamical exponent, the hyperscaling violation parameter, and the Yang-Mills charge increase the real potential and decrease the dissociation length, and hence the quarkonium dissociates easily. In the imaginary part of the potential, we show that the dynamical exponent, the hyperscaling violation parameter, and the Yang-Mills charge tend to decrease the thermal width, thus strengthening the suppression of the heavy quarkonium, and making the melting process easier. Also, we show that the obtained results from the real and imaginary potential methods are compatible and complementary. [ABSTRACT FROM AUTHOR]

The cosmological constant is estimated by considering the surface tension of supervoids in a void-dominated cosmic fluid by which we can get a possible source of dark energy. Looking at voids as bubbles, we define the concept of surface tension which is shown to have an almost constant value for supervoids that are enclosed by superclusters. The surface tensions of voids are computed by dimensional method for galaxies and superclusters with different values for each group. At large scale which vast voids are dominant the positive cosmological constants obtained of order (≃ +10−52 m−2), which are very close to those given by Planck. [ABSTRACT FROM AUTHOR]