82 citations · 277 across the 10 of their papers we have counts for
10 papers
The postulates of gravitational thermodynamics
Erik A. Martinez
The general principles and logical structure of a thermodynamic formalism that incorporates strongly self-gravitating systems are presented. This framework generalizes and simplifi…
Fundamental thermodynamical equation of a self-gravitating system
Erik A. Martinez
The features of the fundamental thermodynamical relation (expressing entropy as function of state variables) that arise from the self-gravitating character of a system are analyzed…
Entropy of eternal black holes
Erik A. Martinez
The entropy of a quantum-statistical system which is classically approximated by a general stationary eternal black hole is studied by means of a microcanonical functional integral…
On critical behaviour in gravitational collapse
Viqar Husain, Erik A. Martinez, Dario Nunez
We give an approach to studying the critical behaviour that has been observed in numerical studies of gravitational collapse. These studies suggest, among other things, that black…
Microcanonical functional integral and entropy for eternal black holes
Erik A. Martinez
The microcanonical functional integral for an eternal black hole system is considered. This requires computing the microcanonical action for a spatially bounded spacetime region wh…
Action and Hamiltonian for eternal black holes
Valeri Frolov, Erik A. Martinez
We present the Hamiltonian, quasilocal energy, and angular momentum for a spacetime region spatially bounded by two timelike surfaces. The results are applied to the particular cas…
Eternal Black Holes and Quasilocal Energy
Valeri Frolov, Erik A. Martinez
We present the gravitational action and Hamiltonian for a spatially bounded region of an eternal black hole. The Hamiltonian is of the general form , where …
Quasilocal Energy for a Kerr black hole
Erik A. Martinez
The quasilocal energy associated with a constant stationary time slice of the Kerr spacetime is presented. The calculations are based on a recent proposal \cite{by} in which quasil…
Exact solution for scalar field collapse
Viqar Husain, Erik A. Martinez, Dario Nunez
We give an exact spherically symmetric solution for the Einstein-scalar field system. The solution may be interpreted as an inhomogeneous dynamical scalar field cosmology. The spac…
On time and the quantum-to-classical transition in Jordan-Brans-Dicke quantum gravity
Claus Kiefer, Erik A. Martinez
Any quantum theory of gravity which treats the gravitational constant as a dynamical variable has to address the issue of superpositions of states corresponding to different eigenv…