Conformal cosmological black holes: Towards restoring determinism to Einstein theory

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Tarih

2019

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Yayıncı

Springer Heidelberg

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

A widespread solution-generating technique of general relativity consists of conformally transforming known seed solutions. It is shown that these new solutions always solve the field equations of a pathological Brans-Dicke theory. However, when interpreted as effective Einstein equations, those field equations exhibit, in the case of a cosmological background, an induced imperfect fluid as an additional effective source besides the original sources of the seed solutions. As an application of this feature, the charged non-rotating Thakurta black hole, which is conformal to Reissner-Nordstrom, is used to demonstrate the fragility of the inner Cauchy horizon when this black hole is embedded in the universe (even accounting for the separation of black hole and Hubble scales). Furthermore, we show that the charged McVittie spacetime, although not conformal to any GR solution, represents a charged black hole embedded in a cosmological background with varying Hubble parameter that does not exhibit a real Cauchy horizon. These arguments speak in favor of restoring determinism to Einstein theory, which was questioned in recent research.

Açıklama

Anahtar Kelimeler

Strong Cosmic Censorship, Cauchy-Problem, Machs Principle, Isotropic Universe, Scale-Invariance, Point Mass, Tensor, Field, Gravity, Spacetimes

Kaynak

European Physical Journal Plus

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

134

Sayı

10

Künye