Holographic dark energy from fluid/gravity duality constraint by cosmological observations

Abstract

In this paper, we obtain a holographic model of dark energy using the fluid/gravity duality. This model will be dual to a higher dimensional Schwarzschild black hole, and we would use fluid/gravity duality to relate to the parameters of this black hole to such a cosmological model. We will also analyze the thermodynamics of such a solution, and discuss the stability model. Finally, we use cosmological data to constraint the parametric space of this dark energy model. Thus, we will use observational data to perform cosmography for this holographic model based on fluid/gravity duality.

Holographic bounce

“…In this framework the dark energy sector arises holographically from the vacuum energy, after one applies at a cosmological level the holographic principle, which originating from black hole thermodynamics and string theory [3][4][5][6][7] establishes a connection of the largest distance of this theory (related to causality and the quantum field theory applicability at large distances) [8] with the Ultraviolet cutoff of a quantum field theory (related to the vacuum energy). Holographic dark energy, both in its basic [1,2,[9][10][11][12][13][14][15][16][17][18] as well as in its various extensions [19][20][21][22][23][24][25][26][27][28][29][30], proves to be very efficient in describing the late-time universe, and it is in agreement with observations [31][32][33][34][35].…”

Holographic dark energy through Tsallis entropy

“…In this way the resulted vacuum energy will be a form * Electronic address: Emmanuel Saridakis@baylor.edu † Electronic address: bamba@sss.fukushima-u.ac.jp ‡ Electronic address: rmyrzakulov@gmail.com § Electronic address: fotis-anagnostopoulos@hotmail.com of dark energy of holographic origin, named holographic dark energy [16] (see [17] for a review). Holographic dark energy leads to interesting cosmological phenomenology [16][17][18][19][20][21][22][23][24][25][26][27] and it has been also extended through various ways [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47]. Additionally, holographic dark energy can be shown to be in agreement with observational data [48][49][50][51][52][53].…”

Physical Acceptability of the Renyi, Tsallis and Sharma-Mittal Holographic Dark Energy Models in the f(T,B) Gravity under Hubble’s Cutoff

“…Wang et al [31] derived the general formula for the energy density of HDE and defined the HDE model's properties, in which the future event horizon is chosen as the characteristic length scale. Pourhassan et al [32] used observational data to perform cosmography for this holographic model based on fluid/gravity duality. They also obtained the HDE from the fluid/gravity duality constraint through cosmological observations.…”