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Effective Action in Quantum Gravity
Elements of quantum field theory: The basic models of quantum field theory Effective action in quantum field theory Quantum field theory in curved space-time and effective action: The renormalization
Zeta Regularization Techniques with Applications
Part 1 The Riemann Zeta function: Riemann, Hurwitz, Epstein, Selberg and related zeta functions analytic continuation - practical uses for series summation asymptotic expansion of "zeta". Part 2
Properties of singularities in the (phantom) dark energy universe
The properties of future singularities are investigated in the universe dominated by dark energy including the phantom-type fluid. We classify the finite-time singularities into four classes and
We review various modified gravities considered as gravitational alternative for dark energy. Specifically, we consider the versions of f(R), f(G) or f(R, G) gravity, model with non-linear
Modified gravity with negative and positive powers of the curvature: Unification of the inflation and of the cosmic acceleration
The modified gravity, which eliminates the need for dark energy and which seems to be stable, is considered. The terms with positive powers of the curvature support the inflationary epoch while the
Inhomogeneous equation of state of the universe: Phantom era, future singularity and crossing the phantom barrier
The dark energy universe equation of state (EOS) with inhomogeneous, Hubble parameter dependent term is considered. The motivation to introduce such a term comes from time-dependent viscosity
On the Conformal Anomaly from Higher Derivative Gravity in AdS/CFT Correspondence
We follow Witten's proposal1 in the calculation of conformal anomaly from (d + 1)-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal
Unifying phantom inflation with late-time acceleration: scalar phantom–non-phantom transition model and generalized holographic dark energy
The unifying approach to early-time and late-time universe based on phantom cosmology is proposed. We consider gravity-scalar system which contains usual potential and scalar coupling function in