Generalized BMS algebra at timelike infinity

Timelike Infinity and Asymptotic Symmetry

By extending Ashtekar and Romano’s definition of spacelike infinity to the timelike direction, a new definition of asymptotic flatness at timelike infinity for an isolated system with a source is proposed. The treatment provides unit spacelike 3-hyperboloid timelike infinity and avoids the introduction of the troublesome differentiability conditions which were necessary in the previous works on...

Non-Relativistic BMS algebra

We construct two possible candidates for the non-relativistic bms4 algebra in four space-time dimensions by contracting the original relativistic bms4 algebra. The bms4 algebra is infinitedimensional and it contains the generators of the Poincaré algebra, together with the so-called super-translations. Similarly, the proposed nrbms4 algebras can be regarded as two infinitedimensional extensions...

From Now to Timelike Infinity on a Finite Grid

In the articles [1, 2, 3, 4] we presented a complete code for solving the conformal Einstein equations which will allow us to study many interesting questions about the global structure of spacetimes by performing numerical experiments. In the present paper we want to demonstrate some of the unique capabilities of this code by a simple example: We calculate the time evolution of gravitational w...

Degenerate equilibria at infinity in the generalized brusselator

K e y w o r d s E q u i l i b r i u m at infinity, Degeneracy, Poincar6 transformation, Normal sector. 1 . I N T R O D U C T I O N Since chemica l osci l la t ions were observed in 1960s, more and more con t r ibu t ions [1-7] have been m a d e in th is field. In 1977, Pr igogine set up a t heo ry of d i ss ipa t ive s t ruc tu res . Based on his work, m a n y resul t s [8-12] are given to inve...

Generalized Timelike Mannheim Curves in Minkowski Space - Time E 41