Noncommutativity and Non-Anticommutativity Perturbative Quantum Gravity

Faizal, Mir

doi:10.1142/s0217732312500757

Cited by 39 publications

(13 citation statements)

References 48 publications

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“…This is because both of these theories are based on modifying the usual energy-momentum dispersion relation in the UV limit such that it reduces to the usual energy-momentum dispersion relation in the IR limit. It may be noted that such a modification of the usual energy-momentum has also been obtained in discrete spacetime [15], spacetime foam [16], the spin-network in loop quantum gravity (LQG) [17], ghost condensation [18], and non-commutative geometry [19,20]. The non-commutative geometry occurs due to background fluxes in string theory [21,22], and it is used to derive one of the most important rainbow functions in gravity's rainbow [23,24].…”

Section: Introductionmentioning

confidence: 96%

Charged dilatonic black holes in gravity’s rainbow

et al. 2016

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In this paper, we present charged dilatonic black holes in gravity's rainbow. We study the geometric and thermodynamic properties of black hole solutions. We also investigate the effects of rainbow functions on different thermodynamic quantities for these charged black holes in dilatonic gravity's rainbow. Then we demonstrate that the first law of thermodynamics is valid for these solutions. After that, we investigate thermal stability of the solutions using the canonical ensemble and analyze the effects of different rainbow functions on the thermal stability. In addition, we present some arguments regarding the bound and phase transition points in context of geometrical thermodynamics. We also study the phase transition in extended phase space in which the cosmological constant is treated as the thermodynamic pressure. Finally, we use another approach to calculate and demonstrate that the obtained critical points in extended phase space represent a second order phase transition for these black holes.

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Section: Introductionmentioning

confidence: 96%

Charged dilatonic black holes in gravity’s rainbow

et al. 2016

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“…This is because both these UV completions of General Relativity are based on the modification of the usual energy-momentum dispersion relation in the UV limit, such that it reduces to the usual energy-momentum dispersion relation in the IR limit. Furthermore, such a modification of the energy-momentum relation also occurs in ghost condensation [41] and non-commutative geometry [7,42]. It may be noted that non-commutative geometry occurs due to background fluxes in string theory [43,44].…”

Section: Introductionmentioning

confidence: 97%

Branes in Gravity’s Rainbow

et al. 2016

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In this work, we investigate the thermodynamics of black p-branes (BB) in the context of Gravity's Rainbow. We investigate this using rainbow functions that have been motivated from loop quantum gravity and κ-Minkowski non-commutative spacetime. Then for the sake of comparison, we examine a couple of other rainbow functions that have also appeared in the literature. We show that, for consistency, Gravity's Rainbow imposes a constraint on the minimum mass of the BB, a constraint that we interpret here as implying the existence of a black p-brane remnant. This interpretation is supported by the computation of the black p-brane's heat capacity that shows that the latter vanishes when the Schwarzschild radius takes on a value that is bigger than its extremal limit. We found that the same conclusion is reached for the third version of rainbow functions treated here but not with the second one for which only standard black p-brane thermodynamics is recovered.

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“…Since a e-mail: hendi@shirazu.ac.ir b e-mail: sh.panahiyan@gmail.com c e-mail: behzad.eslampanah@gmail.com d e-mail: momennia1988@gmail.com the standard energy-momentum dispersion relation enjoys the Lorentz symmetry, it is expected to modify this relation in the ultraviolet limit. In fact, it has been observed that such a modification to the standard energy-momentum relation occurs in some models based on string theory [1], the spin network in loop quantum gravity (LQG) [2], spacetime foam [4], the discrete spacetime [5], Horava-Lifshitz gravity [11,12], ghost condensation [13], non-commutative geometry [3,14], and doubly special relativity.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic instability of nonlinearly charged black holes in gravity’s rainbow

et al. 2016

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Motivated by the violation of Lorentz invariance in quantum gravity, we study black hole solutions in gravity's rainbow in the context of Einstein gravity coupled with various models of nonlinear electrodynamics. We regard an energy dependent spacetime and obtain the related metric functions and electric fields. We show that there is an essential singularity at the origin which is covered by an event horizon. We also compute the conserved and thermodynamical quantities and examine the validity of the first law of thermodynamics in the presence of rainbow functions. Finally, we investigate the thermal stability conditions for these black hole solutions in the context of canonical ensemble. We show that the thermodynamical structure of the solutions depends on the choices of nonlinearity parameters, charge, and energy functions.

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Noncommutativity and Non-Anticommutativity Perturbative Quantum Gravity

Cited by 39 publications

References 48 publications

Charged dilatonic black holes in gravity’s rainbow

Charged dilatonic black holes in gravity’s rainbow

Branes in Gravity’s Rainbow

Thermodynamic instability of nonlinearly charged black holes in gravity’s rainbow

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