2 00 2 Note on a reformulation of the strong cosmic censor conjecture based on computability

نویسنده

  • Gábor Etesi
چکیده

In this letter we provide a reformulation of the strong cosmic censor conjecture taking into account recent results on Malament–Hogarth space-times. We claim that the strong version of the cosmic censor conjecture can be formulated by postulating that a physically reasonable space-time is either globally hyperbolic or possesses the Malament–Hogarth property. But it is well-known that a Malament–Hogarth space-time in principle is capable for performing non-Turing computations such as checking consistency of ZFC set theory. In this way we get an intimate conjectured link between the cosmic censorship scenario and computability theory.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Note on a Reformulation of the Strong Cosmic Censor Conjecture Based on Computability

In this letter we provide a reformulation of the strong cosmic censor conjecture taking into account recent results on Malament–Hogarth space-times. We claim that the strong version of the cosmic censor conjecture can be formulated by postulating that a physically reasonable space-time is either globally hyperbolic or possesses the Malament–Hogarth property. But it is known that a Malament–Hoga...

متن کامل

A proof of the Geroch-Horowitz-Penrose formulation of the strong cosmic censor conjecture motivated by computability theory

In this paper we present a proof of a mathematical version of the strong cosmic censor conjecture attributed to Geroch–Horowitz and Penrose but formulated explicitly by Wald. The proof is based on the existence of future-inextendible causal curves in causal pasts of events on the future Cauchy horizon in a non-globally hyperbolic space-time. By examining explicit non-globally hyperbolic space-t...

متن کامل

A note on Fouquet-Vanherpe’s question and Fulkerson conjecture

‎The excessive index of a bridgeless cubic graph $G$ is the least integer $k$‎, ‎such that $G$ can be covered by $k$ perfect matchings‎. ‎An equivalent form of Fulkerson conjecture (due to Berge) is that every bridgeless‎ ‎cubic graph has excessive index at most five‎. ‎Clearly‎, ‎Petersen graph is a cyclically 4-edge-connected snark with excessive index at least 5‎, ‎so Fouquet and Vanherpe as...

متن کامل

ar X iv : g r - qc / 0 21 20 45 v 2 5 J un 2 00 3 Does Cosmic No - Hair Conjecture in Brane Scenarios follow from General Relativity ?

In this paper we examine the Cosmic No-Hair Conjecture (CNHC) in brane world scenarios. For the validity of this conjecture, in addition to the strong and weak energy conditions for the matter field, a similar type of assumption is to be made on the quadratic correction term and there is a restriction on the non-local term. It is shown by examples with realistic fluid models that strong and wea...

متن کامل

ar X iv : g r - qc / 0 21 20 45 v 1 1 1 D ec 2 00 2 Is Cosmic No - Hair Conjecture in Brane Scenarios follows from General Relativity ?

In this letter we examine the Cosmic No-Hair Conjecture (CNHC) in brane world scenarios. For the validity of this conjecture, in addition to the strong and weak energy conditions for the matter field, a similar type of assumption is to be made on the quadratic correction term and there is a restriction on the non-local term. It is shown by examples with realistic fluid models that strong and we...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008