TY - JOUR

T1 - Cauchy problem for Einstein’s equation with matter

AU - Girbau, Joan

AU - Bruna, Lluís

PY - 2010/1/1

Y1 - 2010/1/1

N2 - © 2010, Birkhäuser, Springer Basel AG. As we have already mentioned in Chapter II, general relativity is a classic gravitation theory where the physical space is interpreted as a continuum, mathematically modeled by means of a time-oriented Lorentzian manifold. Einstein’s equation relating the gravitational field with the matter that creates this field is (Formula presented.) where (Formula presented.) is Einstein’s tensor of the Lorentzian metric (Formula presented.), T is the stress-energy tensor describing the matter, and ξ is a universal constant.

AB - © 2010, Birkhäuser, Springer Basel AG. As we have already mentioned in Chapter II, general relativity is a classic gravitation theory where the physical space is interpreted as a continuum, mathematically modeled by means of a time-oriented Lorentzian manifold. Einstein’s equation relating the gravitational field with the matter that creates this field is (Formula presented.) where (Formula presented.) is Einstein’s tensor of the Lorentzian metric (Formula presented.), T is the stress-energy tensor describing the matter, and ξ is a universal constant.

U2 - 10.1007/978-3-0346-0304-1_4

DO - 10.1007/978-3-0346-0304-1_4

M3 - Article

VL - 58

SP - 63

EP - 108

JO - Progress in Mathematical Physics

JF - Progress in Mathematical Physics

SN - 1544-9998

ER -