ar X iv : g r - qc / 9 30 10 18 v 2 1 9 Ja n 19 93 Jacobi ’ s Action and the Density of States

ar X iv : g r - qc / 9 80 10 41 v 1 1 3 Ja n 19 98 MULTIDIMENSIONAL GRAVITY WITH P - BRANES

1 The model We consider the model governed by the action

ar X iv : g r - qc / 9 30 30 12 v 1 8 M ar 1 99 3 Microcanonical Action and the Entropy of a Rotating Black Hole

The authors have recently proposed a “microcanonical functional integral” representation of the density of quantum states of the gravitational field. The phase of this real–time functional integral is determined by a “microcanonical” or Jacobi action, the extrema of which are classical solutions at fixed total energy, not at fixed total time interval as in Hamilton’s action. This approach is fu...

ar X iv : n uc l - th / 9 90 10 97 v 1 2 9 Ja n 19 99 1 The Landau - Migdal Parameters , g ′ NN and g

ar X iv : a lg - g eo m / 9 70 10 13 v 1 2 6 Ja n 19 97 FAMILIES OF K 3 SURFACES

ar X iv : g r - qc / 9 70 30 03 v 1 2 8 Fe b 19 97 On the null surface formalism

The null surface formalism of GR in three dimensions is presented, and the gauge freedom thereof, which is not just diffeomorphism, is discussed briefly.