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 -