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In these lectures I focus on early universe models which can explain the currently observed structure on large scales. I begin with a survey of inflationary cosmology, the current paradigm for understanding the origin of the universe as we…

High Energy Physics - Theory · Physics 2015-05-18 Robert H. Brandenberger

Observational cosmology is on the verge of new discoveries that will change the essence of our world-view. The matter concerns origin of initial conditions and physics of dark matter.

Astrophysics · Physics 2010-11-11 V. Lukash

The magnetic field of the Sun is generated by internal dynamo process with a cyclic period of 11 years or a 22 year magnetic cycle. The signatures of the Sun's magnetic cycle are observed in the different layers of its atmosphere and in its…

Solar and Stellar Astrophysics · Physics 2023-09-26 Sandra V. Jeffers , Rene Kiefer , Travis S. Metcalfe

Using dynamical system analysis, we explore the cosmology of theories of order up to eight order of the form $f(R, \Box R)$. The phase space of these cosmology reveals that higher-order terms can have a dramatic influence on the evolution…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Sante Carloni , João Luís Rosa , José P. S. Lemos

For most of its history, cosmology was a qualitatively constrained discourse on the universe, shaped by limited observational access and the absence of global dynamical laws. This situation has changed decisively in recent decades. Modern…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-24 Emmanuel N. Saridakis

The earliest origins of mathematics in the Indian subcontinent is generally dated around 800-500 BCE when the {\em Sulbasutras} are thought to have been written. In this article we suggest that mathematical thinking in South Asia, in…

History and Overview · Mathematics 2012-01-17 Sitabhra Sinha , Nisha Yadav , Mayank N. Vahia

I discuss the classical cosmological tests-- angular size-redshift, flux-redshift, and galaxy number counts-- in the light of the cosmology prescribed by the intepretation of CMB anisotropies. The discussion is somewhat of a primer for…

Astrophysics · Physics 2015-06-24 R. H. Sanders

Conceptual climate models provide an approach to understanding climate processes through a mathematical analysis of an approximation to reality. Recently, these models have also provided interesting examples of nonsmooth dynamical systems.…

Dynamical Systems · Mathematics 2016-06-22 James Walsh , Esther Widiasih , Jonathan Hahn , Richard McGehee

We study the dynamical properties of a large body of varying vacuum cosmologies for which dark matter interacts with vacuum. In particular, performing the critical point analysis we investigate the existence and the stability of…

General Relativity and Quantum Cosmology · Physics 2020-02-19 G. Papagiannopoulos , Pavlina Tsiapi , Spyros Basilakos , Andronikos Paliathanasis

Last couple of decades have been the golden age for cosmology. High quality data confirmed the broad paradigm of standard cosmology but have thrusted upon us a preposterous composition for the universe which defies any simple explanation,…

General Relativity and Quantum Cosmology · Physics 2016-11-23 T. Padmanabhan

We present the results of a nation-wide baseline survey, conducted by us, for the status of Astronomy education among secondary school students in India. The survey was administered in 10 different languages to over 2000 students from…

The study of cosmic phase transitions are of central interest in modern cosmology. In the standard model of cosmology the Universe begins in a very hot state, right after at the end of inflation via the process of reheating/preheating, and…

High Energy Physics - Phenomenology · Physics 2019-12-20 Anupam Mazumdar , Graham White

We show that the arrow of time is intimately related to the geometry and topology of the whole universe, and is therefore best understood as a cosmological phenomenon.

General Relativity and Quantum Cosmology · Physics 2025-12-11 Andrea Palessandro

The observation that the shadows of objects change during the course of the day and also for a fixed time during a year led curious minds to realize that the Sun could be used as a timekeeper. However, the daily motion of the Sun has some…

Physics Education · Physics 2018-12-31 Alejandro Gangui , Cecilia Lastra , Fernando Karaseur

We review the general features of nonsingular universes ({\em i.e.} those that go from an era of accelerated collapse to an expanding era without displaying a singularity) as well as cyclic universes. We discuss the mechanisms behind the…

Astrophysics · Physics 2008-12-18 M. Novello , S. E. Perez Bergliaffa

We review several aspects of clusters of galaxies and their application to cosmology. We present first results of numerical simulations of the dynamics of the intra-cluster gas and of different interaction processes between cluster galaxies…

Astrophysics · Physics 2017-11-01 Sabine Schindler

This thesis presents a theoretical investigation into the quantum field theoretic aspects of quantum correlations and decoherence in the cosmological spacetimes. We shall focus on the inflationary or dark energy dominated phase of the…

High Energy Physics - Theory · Physics 2024-01-03 Nitin Joshi

The north Indian Ocean accounts for 6% of the global tropical cyclones annually. Despite the small fraction of cyclones, some of the most devastating cyclones have formed in this basin, causing extensive damage to the life and property in…

Atmospheric and Oceanic Physics · Physics 2022-02-17 Vineet Kumar Singh , M K Roxy

Light scalar fields such as axions and string moduli can play an important role in early-universe cosmology. However, many factors can significantly impact their late-time cosmological abundances. For example, in cases where the potentials…

High Energy Physics - Phenomenology · Physics 2016-03-02 Keith R. Dienes , Jeff Kost , Brooks Thomas

There are two types of timing irregularities seen in pulsars: glitches and timing noise. Both of these phenomena can help us probe the interior of such exotic objects. This article presents a brief overview of the observational and…

Instrumentation and Methods for Astrophysics · Physics 2022-10-28 Jaikhomba Singha , Bhal Chandra Joshi , Debades Bandyopadhyay , Himanshu Grover , Shantanu Desai , P. Arumugam , Sarmistha Banik