Generalized-Lorentzian Thermodynamics

Generalized Lorentzian integrals for small widths

Lorentzian Approach to Black Hole Thermodynamics in the Hamiltonian Formulation

In this work, we extend the analysis of Brown and York to find the quasilocal energy in a spherical box in the Schwarzschild spacetime. Quasilocal energy is the value of the Hamiltonian that generates unit magnitude proper-time translations on the box orthogonal to the spatial hypersurfaces foliating the Schwarzschild spacetime. We call this Hamiltonian the BrownYork Hamiltonian. We find differ...

Generalized Lagrangian Thermodynamics of Thermorheology

The thermodynamic principle of virtual dissipation is given a formulation with variations of the field components freed from any constraints. Application of the principle and the introduction of a new state variable called heat content leads to the integro-differential field equations of thermorheology. Rigorous Lagrangian equations are also obtained which avoid the use of the entropy produced ...

On Generalized Recurrent and Ricci Recurrent Lorentzian Trans-Sasakian Manifolds

The purpose of the paper is to introduce the notion of generalized recurrent Lorentzian transSasakian manifold and study some of the properties of generalized recurrent and Ricci recurrent Lorentzian Trans-Sasakian manifolds.

Generalized Lorentzian Gravity in 1+1D and the Calogero Hamiltonian

We introduce and solve a generalized 1+1D Lorentzian gravity model in which a certain subclass of baby-universes is allowed, the occurrence of these being governed by a coupling constant β. Combining transfer matrix-, saddle pointand path integral techniques we show that for β < 1 it is possible to take a continuum limit in which the model is described by a 1D quantum Calogero Hamiltonian. The ...