Analyticity of strictly static and strictly stationary, inheriting and non-inheriting Einstein-Maxwell solutions

نویسنده

  • Paul Tod
چکیده

Following the technique of [1], we show that strictly static and strictly stationary solutions of the Einstein-Maxwell equations are analytic in harmonic coordinates. This holds whether or not the Maxwell field inherits the symmetry.

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

Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the symmetry of the space-time is not inherited by the electromagnetic field. We find that static degenerate black hole solutions are not possible and, subject to st...

متن کامل

Generating rotating fields in general relativity

I present a new method to generate rotating solutions of the Einstein–Maxwell equations from static solutions, give several examples of its application, and discuss its general properties. When dealing with exact stationary solutions of the Einstein equations, one sometimes stumbles on the questions, quite easy to ask, but rather difficult to answer: Given some static solution, what is the fami...

متن کامل

Direct generation of spinning Einstein–Maxwell fields from static fields

I present a new method to generate rotating solutions of the Einstein– Maxwell equations from static solutions, and briefly discuss its general properties. The four–dimensional stationary Einstein–Maxwell equations are well–known to be invariant under an SU(2,1) group of transformations [1]. Applied to asymptotically flat solutions, these transformations map monopole solutions into monopole sol...

متن کامل

Spherically Symmetric Static Spacetimes

In this paper we discuss matter inheritance collineations by giving a complete classification of spherically symmetric static spacetimes by their matter inheritance symmetries. It is shown that when the energy-momentum tensor is degenerate, most of the cases yield infinite dimensional matter inheriting symmetries. It is worth mentioning here that two cases provide finite dimensional matter inhe...

متن کامل

Mass formulas for stationary Einstein-Yang-Mills black holes and a simple proof of two staticity theorems.

We derive two new integral mass formulas for stationary black holes in EinsteinYang-Mills theory. From these we derive a formula for JΩ − QV , from which it follows immediately that any stationary, nonrotating, uncharged black hole is static and has vanishing electric field on the static slices. In the Einstein-Maxwell case, we have, in addition, the “generalized Smarr mass formula”, for which ...

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 2008