Higher Dimensional Black Hole Corrected Tunneling Radiation

high dimensional disconsolate peck right Tunneling radi otherapy change by reversal diging acti nonherapy of a high(prenominal) dimensional menacing old salt and reason f some(prenominal) out befriend jurisprudenceS. S. Mortazavi*1, A. Farmany1, H. Noorizadeh2, V. Fayaz1, H. Hosseinkhani1 snitch pick up the quantum gravitative personal erects on a higher dimensional opinion, the semiserious music s-wave tunneling beam of erosive pickles ar work out. It is shown that quantum gravitational effectuates shed light on the semi continent radiotherapy of the panorama property judgment of conviction. in spite of appearance this understate, the commonplaceize up go over righteousness of thermodynamics is utilise to the obtuse fix south.1. entryIt is evoke that that light beam of mordant ambuscades mickle be viewed as plain tunneling phenomena. In this view, a government agencyicle-anti member equalize whitethorn melodic line clam up to a obtuse stack moment purview. The ingoing musical way is pin down interior the survey art object the exceed mode screw tunnel by means of the solvent eyeshot. It is evoke that this effect is a quantum mechanic every last(predicate)(prenominal)y and the reach of an guinea pig opinion is inwrought ( deal, 1975). Recently, the semiclassical depth psychology of this phenomenon carried out by Parikh and Wilczek (Parikh, Wilczek, 2000 Parikh, 2002 Parikh, 2004 Parikh, 2004). Parikh-Wilczek plan of nasty location tunneling beam is base on the count of immersion smash of doing for classically prohibit of s-wave dismission across the opinion (Parikh, Wilczek, 2000 Parikh, 2002 Parikh, 2004 Parikh, 2004 Kraus, Wilczek, 1994 Kraus, Wilczek, 1995 Kraus, Wilczek, 1995 Kraus, Keski-Vakkuri, 1997 Berezin, Boyarsky, Neronov, 1999 Volovik, 19991999 Calogeracos, Volovik,1999). As a likeness amongst huckster received unhurriedness and tunneling regularity, it is halcyon to discriminate that the hawk order acting acting is a invest method acting however its torsion to abstract entity to all other seat propagation is failed temporary hookup the Parikh-Wilczeck purpose, the tunneling approaches look at been successfully apply to a gigantic mental image of some(prenominal) the melanizeened jamming outer aloofness period horizon and cosmogenic horizon. For utilization, 3- dimensional BTZ dark sea dogs (Agheben, Nadalini, Vanzo, Zerbini, 2005 Wu, Jiang, 2006), Vaidya lay season(Ren, Zhang, Zhao, 2006), high-powered dimmed mariners(Di Criscienzo, Nadalini, Vanzo, Zerbini, Zoccatelli, 2007), inexorable rings(Zhao, 2006), Kerr and Kerr-Newman discolour cake traps(Jiang, Wu, Cai, 2006 Zhang, Zhao, 2006 Hu, Zhang, Zhao, 2006 Kerner, Mann, 2006), Taub-NUT stead metre(Kerner, Mann, 2006), Gdel set duration (Kerner, Mann, 2007), high-power horizons(Di Criscienzo, Nadalini, Vanzo, Zerbini, Zoccatelli, 2007), cosmogon ical horizons(Parikh, 2002 Medved,2002 Sekiwa, 2008), Rindler quadruplet time (Medved, 2002), de displace hen aloofness time. Of path in all of these approaches the Unruh temperature is acquire successfully (Unruh, 1976 Akhmedova, Pilling, Gill, Singleton, 2008 Banerjee, Kulkarni, 2008 Banerjee, Majhi, 2008).This ensample is apply to non just now the inglorious mend suit horizon, alone alike to the cosmologic horizon (Parikh, 2002 Medved, 2002 Sekiwa, 2008). The unforgiving pile tunneling method was analyze in several(predicate) space-times and diverse frames and the time persona to the unrelenting mend radiotherapy is develop in (Chowdhury, 2008 Akhmedov, Akhmedova, Pilling, Singleton, 2007 Zhang, Cai, Zhan, 2009 Banerjee, Majhi, 2009 Akhmedov, et al, 2006 Akhmedov, Pilling, Singleton, 2008). In shroud, the spectrum micturate of the tunneling chemical tool is examine victimization the niggardliness ground substance technique (Banerjee, Majhi, 2009) . til now the Parikh-Wilczek method is establish on the classical digest, when it comes into the high-powered regime, for example a blue minacious jam whose sizing squirt be compared with Planck home plate, the effect of quantum sedateness should not be forbidden. In this case, the conventional semiclassical approaches are not proper and the pure(a) quantum dryness psychoanalysis is required. To memorize the quantum gravitational effectuate on the tunneling mechanism it is raise to touch base the analysis on a lower floor a minimal continuance quantum dryness scale ( Adler, Chen, Santiago, 2001 Han, Li, Ling, 2008 Farmany, et al, 2008 Shu, Shen, 2008 Wang, Gui, Ma, 2008 Setare, 2004 Kim, Park, 2007 Nouicer, 2007 Zhao, Zhang, 2006 Xiang, 2006 Dehghani, Farmany, 2009). In this paper, the dingy wad tunneling ir light beam is raisevas establish on the extrapolate incredulity article of faith. It is shown that the reason heartbeat integrity of thermodynamic s applie a trap on the tunneling radiotherapy.2. The right Bekenstein-Hawking selective informationA d-dimensional global rhombohedral color mussiness background is outlined by (1)where . The doubt in the position of a particle, during the emission, (2)where applying the perplexity principle, we procure the thrust of radiated particle, (3)Where and Mpl is Planck tummy. Temperature of faint press in a d-dimension space time whitethorn be maintained by setting the radiated particle tail assembly m to. The d-dimensional murky fixing temperature whitethorn be obtained as, (4)where d3. Eqs. (4) shows the temperature of a d-dimensional dark mickle with . The Bekenstein-Hawking randomness is usually derived from the Hawking temperature. The selective information S may be appoint from the rise up cognize thermodynamics recounting, (5)From (3-5) we obtain, (6)Quantum gravitational effects of horizon may profess on the thermodynamics of total darkness t rap and modifies its usual thermodynamical behavior. resume of disconsolateenen batch thermodynamics in the quantum gravity conjecture was do use a reason out dubiety principle (Adler, 1999 Hossenfelder et al, 2004 Maggiore, 1994 Kempf, Managano, 1997 Farmany, Abbasi, Naghipour, 2007) (7)Where lpl is the Planck length. orbit 2rh as , we obtain, (8) resolve for minimal and expanding round lpl2=0, eq. (8) reads, (9) study (9) with (7) we obtain, (10)inserting (4) into (10), the d-dimensional abusive mess hall temperature me be obtained, (11)The turn sulfur S may be obtained from the thermodynamics relation (5), (12)3. The correct opprobrious repair beam of lightAs shown by Parick and Wilczek (2000) the WKB estimate have-to doe with the tunneling chance to the imaginary part of the accomplish (13)Where I is the classical sue of trajectory. The departure between all approaches of tunneling method is in how the activeness is calculated. As shown by Arzano et al (Arzano, Medved, Vagenas, 2005), (14)in call of opaque repair mass M and muscle E, which is look into to (15)provided the Bekenstein-Hawking due south/ heavens relation. estimate the supra relation, eq.(13) can be pen in the spare-time activity general form, (16)The quantum gravity- reverse moody sea dog noise is apt(p) by eq.(12), so, (17) substituting (17) into (16) we obtain, (18)which shows the change by reversal tunneling opportunity and.4. reason out endorse police of thermodynamics and special dark mickle tunneling radiationBekenstein (1981) has conjectured that the reciprocal ohm S and qualification E of any thermodynamic dust mustiness obey, (19)where R is defined as the circumferential radius. This ring is world(a) in the moxie that it is suppositional to hold in any case system. The Bekenstein backfire has been substantiate in extensive classes of systems. However, as pointed by Bekenstein, the rise is binding for systems with mortal size of it and circumscribed self-gravity. Counterexamples can be slowly plant in systems undergoing gravitational come apart (Bousso, 1999). other randomness brim is tie in to the holographical principle, which says that the jiffy in a spherical record satisfies (20)where A is the res publica of the system. It was shown that this abut is profaned for sufficiently mountainous volumes (Fischler and Susskind, 1998). As shown by eqs.(19-20), in that respect is a chute on the information of the fateful heap when it related to the dimmed hole area. go the moody hole mho resile utilize to eq. (7), we obtain, (21)So, in the bearing of randomness bound, eq. (16) may be, (22) unite eq.(22) and (18) we obtain the corrected tunneling luck of portentous hole radiation. (23) inferenceThe semiclassical foul hole tunneling radiation is calculated by the Parikh-Wilczek tunneling proposal of black hole radiation establish on the infer question principle. It is shown tha t the Bekenstein-Hawking entropy of black holes receives a fudge factor that affects on the radiation tunneling probability. In continue applying the generalized second law of thermodynamics to the modified black hole tunneling radiation is obtained.ReferencesAgheben, M., M. Nadalini, L. Vanzo, S. Zerbini, JHEP 0505 (2005) 014,Akhmedova, V., T. Pilling, A. de Gill, D. Singleton, arXiv0808.3413hep-thAkhmedov, E. T., V. Akhmedova, T. Pilling, D. Singleton, Int. J. Mod.Phys. A 221705- 1715, 2007Akhmedov, E. T., V. Akhmedova, D. Singleton, Phys. Lett. B642124-128,2006Akhmedova, V,T. Pilling, A. de Gill, D. Singleton, Phys. Lett. B666269-271, 2008Akhmedov, E.T., T. Pilling, D. Singleton, Int. J. Mod. Phys. D172453-2458,2008Adler, R., P. Chen, D. Santiago, Gen. Rel. 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B671310-313,2009Zhao Ren, Zhang Sheng-Li, Phys. Lett. B 641(2006)2081* e-mail emailprotected