TY - JOUR

T1 - Stability by linearization of Einstein’s equation at Minkowski’s initial metric

AU - Girbau, Joan

AU - Bruna, Lluís

PY - 2010/1/1

Y1 - 2010/1/1

N2 - © 2010, Birkhäuser, Springer Basel AG. Let us recall that in Chapter III we studied the case of a gravitational field created by matter with a small stress-energy tensor, and where we saw (by linearization at Minkowski’s initial metric) how in this case Einstein’s equation was related to the wave equation. However, this naturally raises the question of whether or not it is admissible to linearize Einstein’s equation at Minkowski’s initial metric. In other words, whether or not Einstein’s equation is stable by linearization at Minkowski’s initial metric.

AB - © 2010, Birkhäuser, Springer Basel AG. Let us recall that in Chapter III we studied the case of a gravitational field created by matter with a small stress-energy tensor, and where we saw (by linearization at Minkowski’s initial metric) how in this case Einstein’s equation was related to the wave equation. However, this naturally raises the question of whether or not it is admissible to linearize Einstein’s equation at Minkowski’s initial metric. In other words, whether or not Einstein’s equation is stable by linearization at Minkowski’s initial metric.

U2 - 10.1007/978-3-0346-0304-1_7

DO - 10.1007/978-3-0346-0304-1_7

M3 - Article

VL - 58

SP - 149

EP - 176

JO - Progress in Mathematical Physics

JF - Progress in Mathematical Physics

SN - 1544-9998

ER -