Open Issues in Gravitation and Cosmology

Andrei Barvinsky graduated from the Physics Department of Moscow State University and earned a PhD in theoretical physics, specializing in quantum gravity. He held a postdoctoral fellowship at the University of Alberta, Canada, and is currently a senior researcher at the Theory Department of the Lebedev Physics Institute, Russian Academy of Sciences.His research spans quantum field theory, quantum gravity, and cosmology. He has authored over 100 publications, including pioneering work on the quantum theory of gauge-constrained systems, the effective action method in quantum field theory, and Higgs inflation in early-universe cosmology. Barvinsky collaborates widely with institutions such as the Perimeter Institute (Canada), Ludwig Maximilian University (Munich), University of Cologne, University of British Columbia, University of Bologna, and CERN.Alexander Kamenshchik graduated from the Physics Department of Moscow State University and earned a PhD in theoretical physics, focusing on quantum field theory. He has worked in  the Landau Institute for Theoretical Physics, Russian Academy of Sciences. He is currently a professor of physics at the University of Bologna.His research interests include quantum field theory, classical and quantum cosmology, and the foundations of quantum mechanics. Kamenshchik has published over 100 papers on mathematical physics, quantum gravity, general relativity, and cosmology. In 2017, he and Andrei Barvinsky received the Friedmann Prize from the Russian Academy of Sciences for their series of works titled New Directions in Cosmology of the Early and Modern Universe.

• On Legacy of Starobinsky Inflation.- Non-local Starobinsky Inflation and Beyond.- Alexei Starobinsky and Modern Cosmology.- Constant-Roll Inflation.- A Complete Analysis of Inflation with Piecewise Quadratic Potential.- Bounce Solutions with Quantum Vacuum Effects of Massive Fields and Subsequent Starobinsky Inflation.- Induced Gravity and the Creation of the Universe from “Nothing”.- On Quantum Creation of a Toroidal Universe.- From a Quantum World to Our Classical Universe.- Origin of Cosmological Density Perturbations from Quantum Fluctuations of Vacuum in General Relativity.- Towards N = 2 Higher-spin Supergravity.- Gauss-Bonnet Mimetic Gravity.- Initial Conditions for Starobinsky Inflation in General Quadratic Gravity.- On Stability and Isotropization of Kasner Solution in R2 Gravity.- Progress in Einstein-Cartan Gravity.- Isotropic and Homogeneous Cosmological Models in the Theory of Gravity with Non-minimal Derivative Coupling.- Dirac Singleton as a Relativistic Field Beyond Standard Model.- Chaos in Horndeski Cosmologies.- Alexei Starobinsky and wormhole physics.- Memories of Gravitational Shockwaves.- Constraining Non-Newtonian Gravity and Axionlike Particles in the Context of the Standard Cosmological Model.- Reconstruction of Primordial Scalar Power Spectrum from Pulsar Timing Observations.- Proton Decay in de Sitter Environment. Proton Decay in de Sitter Environment.- An Unfinished Collaboration with A. A. Starobinsky.- Loop Integrals on the de Sitter Sphere and Some Summation Formulae of the Generalized Hypergeometric Series.- The Starobinsky Model of Inflation and Renormalizability.- The Infra-Red Road to Quantum Gravity.- Recent Developments in Stochastic Inflation.- Structure Formation in the Local Universe and the Cosmological Constant.- Scale Invariant Dark Energy.- Dynamical Dark Energy with AdS-dS Transitions vs. Baryon Acoustic Oscillations at z = 2.3 ? 2.4.- Remembering Alexei Starobinsky - The Gentle Giant of Cosmology.- Starobinsky in Japan.