arXiv subjects

Salih Kibaroğlu

Publications and source records attributed to Salih Kibaroğlu.

23 records · Page 2Linked to original sources

arXiv2019

Effects of bosonic and fermionic $q$-deformation on the entropic gravity

In this paper, we study thermodynamical contributions to the theory of gravity under the $q$-deformed boson and fermion gas models. According to the Verlinde's proposal, the law of gravity is not based on a fundamental interaction but it emerges as an entropic force from the changes of entropy associated with the information on the holographic screen. In addition, Strominger shows that the extremal quantum black holes obey neither boson nor fermion statistics, but they obey deformed statistic. Using these notions, we find $q$-deformed entropy and temperature functions. We also present the contributions that come from the $q$-deformed model to the Poisson equation, Newton's law of gravity and Einstein's field equations.

hep-th↗

arXiv2019

Friedmann equations for deformed entropic gravity

In this study, we investigate the effects of the one and two-parameters deformed systems on the Friedmann equations of the Friedmann-Robertson-Walker (FRW) universe in the context of the entropic gravity approach. We give simplified forms for the deformed Unruh temperature and Einstein field equations for three different deformed systems. Based on these compact equations, we derive the Friedmann equations with the effective gravitational and cosmological constant.

hep-th↗

arXiv2019

Generalized entropic gravity from modified Unruh temperature

In this study, the effects of the generalized uncertainty principle on the theory of gravity are analyzed. Inspired by Verlinde's entropic gravity approach and using the modified Unruh temperature, the generalized Einstein field equations with cosmological constant are obtained and corresponding conservation law is investigated. The resulting conservation law of energy-momentum tensor dictates that the generalized Einstein field equations are valid in a very limited range of accelerations. Moreover, the modified Newton's law of gravity and the modified Poisson equation are derived. In a certain limit, these modified equations reduce to their standard forms.

hep-th↗

arXiv2019

$q$-Deformed Einstein equations from entropic force

In this study, we investigate the influences of fermionic $q$-deformation on the Einstein equations by taking into account of Verlinde's entropic gravity approach and Strominger's proposal on quantum black holes. According to Verlinde's proposal, gravity is interpreted as an entropic force. Moreover, Strominger's suggetion claims that extremal black holes obey deformed statistics instead of the standard Bose or Fermi statistics. Inspired by Verlinde's and Strominger's suggestions, we represent some thermostatistical functions of VPJC-type $q$-deformed fermion gas model for the high-temperature limit. Applying the Verlinde's entropic gravity approach to the $q$-deformed entropy function, $q$-deformed Einstein equations with the effective cosmological constant are derived. The results obtained in this work are compared with the related works in the literature.

physics.gen-ph↗

arXiv2018

$D=4$ topological gravity from gauging the Maxwell-special-affine group

In this paper, the Maxwell extension of the special-affine algebra is obtained and corresponding non-linear realization is constructed. We give also the differential realization of the generators of the extended symmetry. Moreover, we present the gauge theory of the Maxwell special-affine algebra and the topological gravity action in four dimensions. As a conclusion, we show that the Bianchi identities can be found by using the solution of the equations of motion.

hep-th↗