265 research outputs found
Hawking radiation as tunneling for spherically symmetric black holes: A generalized treatment
We present a derivation of Hawking radiation through tunneling mechanism for
a general class of asymptotically flat, spherically symmetric spacetimes. The
tunneling rate arises as a consequence of the
first law of thermodynamics, TdS=dE + PdV. Therefore, this approach
demonstrates how tunneling is intimately connected with the first law of
thermodynamics through the principle of conservation of energy. The analysis is
also generally applicable to any reasonable theory of gravity so long as the
first law of thermodynamics for horizons holds in the form, TdS=dE + PdV.Comment: RevTeX 4; 11 pages; no figure
Physical process first law and caustic avoidance for Rindler horizon
We study the perturbation induced by a slowly rotating massive object as it
passes through a Rindler horizon. It is shown that the passage of this object
can be approximately modeled as Delta\,function type tidal distortions hitting
the horizon. Further, following the analysis presented by Amsel, Marolf and
Virmani related to the issue of the validity of physical process first law, we
establish a condition on the size of the object so that this law holds for the
Rindler horizon.Comment: 15 pages, 2 figure
Hawking radiation from stationary black holes using gravitational anomaly
Among all the different techniques to derive the Hawking effect, the approach
based on gravitational anomaly by Robinson and Wilczek provides a simple and
satisfactory origin of the black hole radiation. In this picture, the effective
near horizon physics becomes chiral and contains gravitational anomaly.
Nevertheless, the underlying description must be generally covariant, and
therefore we require a compensating energy-momentum flux whose divergence
cancels the anomaly at the horizon. Remarkably, the energy flux associated with
the Hawking emission from the horizon exactly cancels the gravitational anomaly
and restores the general covariance at the quantum level. In this work, we
present a generalization of the original derivation for a stationary
axisymmetric black hole solution of any gravity theory which differs
perturbatively from general relativity. The crucial input of the calculation is
a remarkable simplification of the near horizon geometry and the validity of
the zeroth law of black hole mechanics.Comment: 6 pages, no figure
Thermodynamics of Local Causal Horizons
We propose an expression for the entropy density associated with the Local
Causal Horizons in any diffeomorphism invariant theory of gravity. If the
black-hole entropy of the theory satisfies the physical process version of the
first law of thermodynamics then our proposed entropy satisfies the Clausius
relation. Thus, our study shows that the thermodynamic nature of the spacetime
horizons is not restricted to the black holes; it also applies to the local
causal horizons in the neighborhood of any point in the spacetime.Comment: 6 pages, 1 figur
Social Exclusion and Child Nutritional Status among the Scheduled Population in India
The concept of social exclusion covers a wide range of economic and social problems commonly related poverty, inequality, deprivation and discrimination. The child nutritional status is one of the important areas where the concept has serious applicability. The proportions of undernourished children in India is significantly higher along with wide spread socio-economic inequalities. The disadvantaged scheduled population (i.e. SC’s & ST’s) in the country are tremendously affected by multidimensional poverty and thus bearing the immense burden of undernourishment especially among the young children. Using the 3rd round of National Family and Health Survey (NFHS-3; 2005-06) dataset the study broadly suggests that the problem is deeply rooted in larger form social exclusion and deprivation among the lower most segments of the population. It explores the different contours exclusion related to the lesser access of the basic health care facilities, one of the leading causes for the very high rate of child undernourishment among the children. Keywords: Social Exclusion, Poverty, Inequality, Deprivation, Discrimination, Scheduled Children, Nutritional Status
Thermodynamics of horizons from a dual quantum system
It was shown recently that, in the case of Schwarschild black hole, one can
obtain the correct thermodynamic relations by studying a model quantum system
and using a particular duality transformation. We study this approach further
for the case a general spherically symmetric horizon. We show that the idea
works for a general case only if we define the entropy S as a congruence
("observer") dependent quantity and the energy E as the integral over the
source of the gravitational acceleration for the congruence. In fact, in this
case, one recovers the relation S=E/2T between entropy, energy and temperature
previously proposed by one of us in gr-qc/0308070. This approach also enables
us to calculate the quantum corrections of the Bekenstein-Hawking entropy
formula for all spherically symmetric horizons.Comment: 5 pages; no figure
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