{"title":"The influence of a minimal length and accumulation of dark energy near the event horizon and the stability of a black hole","authors":"L. Maglahoui, P. O. Hess","doi":"10.1007/s10714-025-03469-z","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate the influence of a minimal length and the accumulation of dark energy on the structure of black holes, for Schwarzschild and Kerr solutions. We show that near the event horizon the minimal length creates a region of negative temperature, resulting in a negative pressure, which counteracts a collapse. When dark energy is added, in addition the position of the event horizon will change and, depending on the size of the dark energy, stable dark stars are created. Our study ranges from standard black holes (no minimal length and no dark energy) to black holes with a minimal length and various radial intensities for the accumulation of dark energy. The dependence of the effects as a function of the black holes’s mass is studied. We find that a minimal length is possibly responsible for the suppression of primordial black holes.\n</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 9","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03469-z.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Relativity and Gravitation","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10714-025-03469-z","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
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Abstract
We investigate the influence of a minimal length and the accumulation of dark energy on the structure of black holes, for Schwarzschild and Kerr solutions. We show that near the event horizon the minimal length creates a region of negative temperature, resulting in a negative pressure, which counteracts a collapse. When dark energy is added, in addition the position of the event horizon will change and, depending on the size of the dark energy, stable dark stars are created. Our study ranges from standard black holes (no minimal length and no dark energy) to black holes with a minimal length and various radial intensities for the accumulation of dark energy. The dependence of the effects as a function of the black holes’s mass is studied. We find that a minimal length is possibly responsible for the suppression of primordial black holes.
期刊介绍：
General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation.
It welcomes in particular original articles on the following topics of current research:
Analytical general relativity, including its interface with geometrical analysis
Numerical relativity
Theoretical and observational cosmology
Relativistic astrophysics
Gravitational waves: data analysis, astrophysical sources and detector science
Extensions of general relativity
Supergravity
Gravitational aspects of string theory and its extensions
Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations
Quantum field theory in curved spacetime
Non-commutative geometry and gravitation
Experimental gravity, in particular tests of general relativity
The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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