English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

According to the Lovelock theorem where the model \cite{Glav} could notapplicable for Einstein Gauss Bonnet (EGB) gravity in all 4D curved spacetimes,authors of the reference \cite{ali} presented an effective model by applyingbreak of diffeomorphism property. Hence we use the latter model instead offormer for study of thermodynamic behavior of a 4D AdS EGB sphericallysymmetric static black hole which surrounded with a cloud of string. In shortour work is extension of the works given by \cite{Veer,Heg} but not by using\cite{Glav} but by applying \cite{ali}. Our metric solutions are obtainedversus the Hermite polynomials (quantum harmonic Oscillator) for which eigenvalues come from single scale defined by multiplication of the couplingconstants of the model: Namely the regularized GB parameter, AdS radius, theblack hole ADM mass and the string tension. Hence we claim the obtained metricsolution is in fact behavior of quantized black hole. Because the GB term isoriginated from renormalization of quantum matter fields. Also we shouldpointed that this kind of quantization is different with the canonicalquantization (Wheeler De Witt). Our study shows that all phase transitions ofthis quantum black hole are dependent to the Hermite quantum numbers.

Quantum State Dependence of Thermodynamic Phase Transition in 4D AdS Gauss-Bonnet Quantum Black Holes Surrounded With Cloud of Strings