Weak Gravity Conjecture, Black Branes and Violations of Universal Thermodynamic Relation

Abstract

The universal thermodynamic relations between corrections to entropy and extremality for various black holes solutions have been studied. In this regard, we hereby consider a number of different black brane solutions in different structures for perturbative corrections to general relativity. These are, namely, black brane solution in Rastall AdS massive gravity, Einstein-Yang-Mills AdS black brane solution in massive gravity and general anisotropic black brane in Horava-Lifshitz gravity. We calculate both the entropy and extremality bound by introducing a small constant correction to the action. Remarkably, we find that black brane violates the universal thermodynamic relations. In other words, a universal relation between corrections to entropy and extremality are not valid in the black brane structure.

Anisotropic constant-roll inflationary scenario with complex quintessence field and swampland conjectures

“…Different solutions can be calculated for the parameter φ by solving the above equation. Also, we can obtain with straightforward calculation the scale factor according to equations (25) and H = ȧ a . We can examine another boundary condition and compare the results with each other.…”

“…Despite the problems and novelty of this idea, it has also yielded interesting results. For further study of this concept, as well as the most important conjectures that have been studied in this theory, such as dS conjecture, weak gravity conjecture, etc., see [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. In this paper, we want to study the constant-roll condition of the inflationary scenario in the presence of refined swampland conjectures considering the complex form of the scalar field as complex quintessence.…”

Scalar Weak Gravity Conjecture and Inflationary Models

“…Therefore, the swampland program was introduced. This program includes many conjectures, including weak gravity conjecture (WGC), dS and AdS conjectures, SWGC, SSWGC, TCC, etc [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. The collection of effective low-energy theories compatible with quantum gravity lives in the landscape.…”