Causal structure of evaporating black holes

Lesourd, Martin

doi:10.1088/1361-6382/aaf5f8

Cited by 8 publications

(10 citation statements)

References 16 publications

(38 reference statements)

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“…The black hole evaporation process is a rather robust prediction of general relativity coupled with quantum field theory on a curved background. The spacetime of an evaporating black hole can hardly be represented by a globally hyperbolic manifold, in fact there are indications that even if the singularity were not naked, causal continuity would be violated (Kodama 1979;Wald 1984a;Lesourd 2019). As a consequence, Einstein's equations alone cannot determine the evolution of the spacetime manifold.…”

Section: Discussionmentioning

confidence: 99%

Lorentzian causality theory

Minguzzi

2019

Living Rev Relativ

157

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I review Lorentzian causality theory paying particular attention to the optimality and generality of the presented results. I include complete proofs of some foundational results that are otherwise difficult to find in the literature (e.g. equivalence of some Lorentzian length definitions, upper semi-continuity of the length functional, corner regularization, etc.). The paper is almost self-contained thanks to a systematic logical exposition of the many different topics that compose the theory. It contains new results on classical concepts such as maximizing curves, achronal sets, edges, horismos, domains of dependence, Lorentzian distance. The treatment of causally pathological spacetimes requires the development of some new versatile causality notions, among which I found particularly convenient to introduce: biviability, chronal equivalence, araying sets, and causal versions of horismos and trapped sets. Their usefulness becomes apparent in the treatment of the classical singularity theorems, which is here considerably expanded in the exploration of some variations and alternatives.

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Section: Discussionmentioning

confidence: 99%

Lorentzian causality theory

Minguzzi

2019

Living Rev Relativ

157

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“…Let D(M) the unital free *-algebra over C generated by D(M). 12 Define I ⊂ D(M) as the smallest ideal such that for each f, g ∈ D(M) and a ∈ C we have…”

Section: D(m)mentioning

confidence: 99%

“…Instead, we shall focus on space-times with more discrete (naked) singularities. A main motivation for studying quantum fields on such space-times comes from the supposed structure of evaporating black holes (originating in [11], and more recently studied from the perspective of causal structures in [12]), however we shall in fact study a more general class of space-time for which black hole evaporation space-times are just one example, that we will treat in 4.3. We shall dub this class the semi-globally hyperbolic space-times.…”

Section: Introductionmentioning

confidence: 99%

Quantum Fields on Semi-globally Hyperbolic Space–Times

Janssen

2022

Commun. Math. Phys.

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We introduce a class of space–times modeling singular events such as evaporating black holes and topology changes, which we dub as semi-globally hyperbolic space–times. On these space–times we aim to study the existence of reasonable quantum field theories. We establish a notion of linear scalar quantum field theories on these space–times, show how such a theory might be constructed and introduce notions of global dynamics on these theories. Applying these contructions to both black hole evaporation and topology changing space–times, we find that existence of algebras can be relatively easily established, while the existence of reasonable states on these algebras remains an unsolved problem.

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“…An early philosophical discussion of black holes was given by Weingard (1979) and some additional issues were discussed by Earman (1995), Romero (2013bRomero ( , 2014aRomero ( , 2014bRomero ( , 2016b, and Romero and Pérez (2014). Papers with various philosophical implications of black holes have been published recently by Curiel (2019), who deals with the many definitions of black holes, Maudlin (2017) and Manchak and Weatherall (2018), who discuss the firewall paradoxes, Lesourd (2019), who investigates the causal structure of evaporating black holes, and by John Dougherty and Craig Callender (2016), who discuss philosophical aspects of black hole thermodynamics. Also, some philosophical issues are to be found in the specialized scientific literature, which remains almost inaccessible to most philosophers.…”

Section: Introductionmentioning

confidence: 99%

Black Hole Philosophy

Romero

2021

CRHF

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Black holes are arguably the most extraordinary physical objects we know in the universe. Despite our thorough knowledge of black hole dynamics and our ability to solve Einstein’s equations in situations of ever increasing complexity, the deeper implications of the very existence of black holes for our understanding of space, time, causality, information, and many other things remain poorly understood. In this paper I survey some of these problems. If something is going to be clear from my presentation, I hope it will be that around black holes science and metaphysics become more interwoven than anywhere else in the universe.

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Causal structure of evaporating black holes

Cited by 8 publications

References 16 publications

Lorentzian causality theory

Lorentzian causality theory

Quantum Fields on Semi-globally Hyperbolic Space–Times

Black Hole Philosophy

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