Abstract
In this paper, we will analyze the physical consequences of black remnants, which form due to non-perturbative string theoretical effects. These non-perturbative effects occur due to the T-duality in string theory. We will analyze the production of such black remnants in models with large extra dimensions, and demonstrate that these non-perturbative effects can explain the absence of mini black holes at the LHC. In fact, we will constraint such models using data from the LHC. We will also analyze such non-perturbative corrections for various other black hole solutions. Thus, we will analyze the effects of such non-perturbative corrections on the Van der Waals behavior of AdS black holes. We will also discuss the effects of adding a chemical potential to this system. Finally, we will comment on the physical consequences of such non-perturbative corrections to black hole solutions.
Highlights
It is known that black holes have an entropy, and this suggests that the physics of black holes can be described by some quantum gravitational microstates
This is because the physics of black holes in string theory has been used to understand production of primordial black hole [21, 22]
This is because four dimensional magnetic black hole solutions of heterotic string theory can be constructed using SU (2)/Z(2Q + 2) WZW orbifold
Summary
It had been suggested that such black remnants should occur due to stringy theoretical effects [56]. The T-duality for the effective path integral of strings propagating in compactified extra-dimensions has been studied [36,37,38,39] This has been done by using the string center of mass for analyzing the Green’s function for this system. A corrected black hole solution is obtained by using the modified matter density, which produces this modified Green’s function The metric for such a four dimensional static and spherically symmetric black hole modified by these string theoretical corrections can be written as [30], ds. This is a non-pertubative modification of a static and spherically symmetric black hole, and occurs due to the non-pertubative string theoretical effects. Such non-pertubative corrections modify the short distance physics of black holes, they are expected to significantly modify the thermodynamics at the last stages of black holes [30]
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