عنوان مجله
|
Romanian Journal of Physics
|
چکیده
|
Bearing the thermodynamic arguments together with the two definitions of mass
in mind, we try to find metrics with spherical symmetry. We consider the adiabatic condition
along with the Gong-Wang mass, and evaluate the grr element which points to
a null hypersurface. In addition, we generalize the thermodynamics laws to this hypersurface
to find its temperature and thus the corresponding surface gravity which enables
us to get a relation for the gtt element. Moreover, we investigate the mathematical and
physical properties of the discovered metric in the Einstein relativity framework which
shows that the primary mentioned null hypersurface is an event horizon. The obtained
energy-momentum tensor equals the energy-momentum tensor of a polytropic black
hole embedded into an anti-de Sitter background. We also show that if one considers
the Misner-Sharp mass in the calculations, the Schwarzschild metric will be got. The
relationship between the two mass definitions in each metric is studied. The results of
considering the geometrical surface gravity are also addressed. Our investigation shows
that the geometrical surface gravity’s definition is not always compatible with the validity
of the first law of thermodynamics on the horizons of spherically symmetric static
metrics
|