Abstract (EN):
In this work, we consider different forms of relativistic perfect fluid Lagrangian densities that yield the same gravitational field equations in general relativity (GR). A particularly intriguing example is the case with couplings of the form [1 + f(2()R)] L-m, where R is the scalar curvature, which induces an extra force that depends on the form of the Lagrangian density. It has been found that, considering the Lagrangian density L-m = p, where p is the pressure, the extra-force vanishes. We argue that this is not the unique choice for the matter Lagrangian density, and that more natural forms for L-m do not imply the vanishing of the extra force. Particular attention is paid to the impact on the classical equivalence between different Lagrangian descriptions of a perfect fluid.
Language:
English
Type (Professor's evaluation):
Scientific
Contact:
orfeu@cosmos.ist.utl.pt; francisco.lobo@port.ac.uk; jorge.paramos@ist.utl.pt
No. of pages:
6