SELF-GRAVITATIONAL CORRECTIONS TO THE CARDY–VERLINDE FORMULA AND THE FRW BRANE COSMOLOGY IN SdS₅ BULK

Abstract

A D3−brane with non-zero energy density is considered as the boundary of a five dimensional Schwarzschild anti de Sitter bulk background. Taking into account the semi-classical corrections to the black hole entropy that arise as a result of the selfgravitational effect, and employing the AdS/CFT correspondence, we obtain the self-gravitational correction to the first Friedmann-like equation. The additional term in the Hubble equation due to the self-gravitational effect goes as a −6 . Thus, the self-gravitational corrections act as a source of stiff matter contrary to standard FRW cosmology where the charge of the black hole plays this role. *

Hawking Radiation of Charged Particles from a Rotating Black String

“…Based on the above calculation, our result (28) has the same form with the results in literatures [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. However, in Bekenstein-Hawking entropy difference expression (28) there is the term that denotes effect of angular momentum of radiation particles on black strings angular momentum.…”

“…That is the angular momentum of black string become J from (J + m). References [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] only considered the effect of energy charge on the black hole angular momentum. They did not consider the effect of radiation particle rotation on black hole angular momentum.…”

“…When [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] calculated the radiation spectrum of axisymmetric black holes using the tunneling method proposed by Parikh and Wilczek, they only considered that the energy and charge fluctuated during the radiation process, the change of the black hole angular momentum was determined by the change of the black hole energy. They did not consider the effect of the rotation of the black hole radiated particles on the black hole angular momentum.…”

Tunneling Radiation of Charged and Magnetized Particles from the Reissner-Nordström-de Sitter Black Holes with Magnetic Charges

“…The results are that the corrected spectrum deviates the pure thermal spectrum but satisfies an underlying unitary theory. Following their method, a number of static or stationary rotating black holes have been studied [6][7][8][9][10][11][12][13][14][15][16][17][18]. Recently, Parikh-Wilczek's semi-classical method was extended to calculate the tunneling rates of massive particles, charged particles and even the charged and magnetized particles [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38].…”

Tunneling Through Black Rings

“…The tunnelling method is then purified and popularized by the work of Parikh and Wilczek [5,6,7], which is now known in the literature as Parikh-Wilczek tunnelling method. A lot of works has already been carried out for further development of this approach [8,9,10,11,12,13,14,15,16,17,18,19,20], most of them being focused on the study of Hawking radiation process from various black hole spacetimes and a few exceptional examples are [21,22] which discussed the consistency of the tunnelling approach with the classical laws of thermodynamics, [23], which considered the Plank scale corrections to the radiation spectrum via tunnelling method, and [24,25] which studied the corrections to the Cardy-Verlinder entropy due to the tunnelling effect.…”