Modified clock inequalities and modified black hole lifetime

Modified dispersion relations and black hole physics

A modified formulation of energy-momentum relation is proposed in the context of doubly special relativity. We investigate its impact on black hole physics. It turns out that such modification will give corrections to both the temperature and the entropy of black holes. In particular this modified dispersion relation also changes the picture of Hawking radiation greatly when the size of black h...

Primordial Black Hole Pair Creation Probability in Modified Gravitational Theory

The probability for quantum creation of an inflationary universe with a pair of black holes is computed in a modified gravitational theory. Considering a gravitational action which includes a cosmological constant (Λ) in addition to α R and δ R terms, the probabilities have been evaluated for two different kinds of spatial sections, one accommodating a pair of black holes and the other without ...

Modified logarithmic Sobolev inequalities and transportation inequalities

Modified Log-sobolev Inequalities and Isoperimetry

We find sufficient conditions for a probability measure μ to satisfy an inequality of the type ∫ Rd fF ( f ∫ Rd f 2 dμ ) dμ ≤ C ∫ Rd f2c∗ ( |∇f | |f | ) dμ + B ∫ Rd f dμ, where F is concave and c (a cost function) is convex. We show that under broad assumptions on c and F the above inequality holds if for some δ > 0 and ε > 0 one has ∫ ε 0 Φ ( δc [ tF ( 1t ) Iμ(t) ]) dt <∞, where Iμ is the isop...

Black Hole Attack Prevention and Detection in VANET using Modified DSR Protocol

Vehicular Ad hoc Network is one of the interesting and attractive topics in the recent years. It has a potential to achieve intelligent inter vehicle communication for the benefit of the vehicle user. The VANET has lot of challenges. These decentralized dynamic networks require a secure communication. These networks are vulnerable to various attacks. In this paper the security features of routi...