K-causal Maps and Causal Conditions on C-lorentzian Manifolds

نویسنده

  • SUJATHA JANARDHAN
چکیده

Using K-Causal relation introduced by Sorkin and Woolgar , we generalize results of Garcia-Parrado and Senovilla 7 on causal maps. We also introduce new concepts like K-future sets,K-reflecting and K-future distinguishing space-times, and prove some of their properties.This approach is simpler and more general as compared to traditional causal approach 2,3 and it has been used by Penrose et.al 4 in giving a new proof of positivity of mass theorem.

برای دانلود 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

ar X iv : g r - qc / 0 30 30 20 v 1 5 M ar 2 00 3 Causal symmetries

Based on the recent work [4] we put forward a new type of transformation for Lorentzian manifolds characterized by mapping every causal future-directed vector onto a causal future-directed vector. The set of all such transformations, which we call causal symmetries, has the structure of a submonoid which contains as its maximal subgroup the set of conformal transformations. We find the necessar...

متن کامل

Statistical Lorentzian geometry and the closeness of Lorentzian manifolds

I introduce a closeness function between causal Lorentzian geometries of finite volume and arbitrary underlying topology. The construction uses the fact that some information on the manifolds and metrics is encoded in the partial order that the causal structure of each metric induces among points randomly scattered in the corresponding manifold with uniform, finite density according to the volu...

متن کامل

X iv : g r - qc / 9 50 80 18 v 3 2 4 Ju n 19 99 A Causal Order for Spacetimes with C 0 Lorentzian Metrics :

We recast the tools of " global causal analysis " in accord with an approach to the subject animated by two distinctive features: a thoroughgoing reliance on order-theoretic concepts, and a utilization of the Vietoris topol-ogy for the space of closed subsets of a compact set. We are led to work with a new causal relation which we call K + , and in terms of it we formulate extended definitions ...

متن کامل

Causal structures and causal boundaries

We give an up-to-date perspective with a general overview of the theory of causal properties, the derived causal structures, their classification and applications, and the definition and construction of causal boundaries and of causal symmetries, mostly for Lorentzian manifolds but also in more abstract settings. PACS numbers: 04.20.Gz, 04.20.Cv, 02.40.Ky

متن کامل

On causality and closed geodesics of compact Lorentzian manifolds and static spacetimes

Some results related to the causality of compact Lorentzian manifolds are proven: (1) any compact Lorentzian manifold which admits a timelike conformal vector field is totally vicious, and (2) a compact Lorentzian manifold covered regularly by a globally hyperbolic spacetime admits a timelike closed geodesic, if some natural topological assumptions (fulfilled, for example, if one of the conjuga...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005