Comparative calculation of retention volumes in gas-liquid chromatography

Sakharov, V. M.

doi:10.1016/0031-6458(66)90031-1

Cited by 1 publication

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“…Although a fully working theory of quantum gravity is not at hand, regular black holes can be used as phenomenological toy models in order to investigate possible ways of singularity resolutions. The seminal idea of Sakharov [1] and Gliner [2], proposing that singularities could be substituted by an inflationary equation of state (i. e., a de Sitter core), was firstly realized by Bardeen in 1968 [3]. Since then, although there have been a great development within the field, most of regular black hole solutions (without layers) were constructed following Bardeen's proposal.…”

Section: Introduction and Purpose Of The Workmentioning

confidence: 99%

Some global, analytical and topological properties of regular black holes

Bargueño

2020

Preprint

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In this work we study regular black holes from a global perspective looking for evading some of the well-known singularity theorems by using their "reverses". Then, model geometries for the slices of typical spherically symmetric, (locally) static four dimensional regular black hole solutions are described from both an analytical and a topological point of view. While the finiteness of both the scalar and Kretchmann curvature of the slices around the regular center determines the geometry of the core, the positive answer to the Poincaré conjecture assures that, under two assumptions, its topology is that of a three-sphere. However, in general, the cores are shown to be S 3 , H 3 , R × S 1 or S 1 × S 2 , depending whether a de Sitter, anti de Sitter, Nariai or Bertotti-Robinson geometries are employed to describe the slices at the regular center. Then, a description of the aforementioned slices in terms of Seifert fibre spaces is given in order to show that the Euler characteristic of the bundle can be used to track the transition between the core of the regular black hole and the rest of the slices in most of the cases considered in the literature. After Geroch and Tipler's theorems are employed to study the consequences of topology change on regular black hole spacetimes, we show that Borde and Vilenkin's singularity theorem is used to restrict their possible types. We end by noting that Nariai cores can be safely used to construct regular black holes without topology changes.

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Section: Introduction and Purpose Of The Workmentioning

confidence: 99%

Some global, analytical and topological properties of regular black holes

Bargueño

2020

Preprint

View full text Add to dashboard Cite

show abstract

Comparative calculation of retention volumes in gas-liquid chromatography

Cited by 1 publication

References 3 publications

Some global, analytical and topological properties of regular black holes

Some global, analytical and topological properties of regular black holes

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