So as I had loads of fun writing my last twitter thread on my Swampland Paper, I figured I'd do the same for one on my Warm Inflation paper. So here goes...

As mentioned in my last twitter thread, Inflationary Cosmology has achieved resounding success in describing the Early Universe. The interest hence accumulated towards this has had people pursuing various different approches to Inflation and considering non orthodox regimes..

The most famous models of Inflation arguably are still the Single Scalar Field Models, where Inflation is driven by a scalar Field. There are loads of other models, vector field models, Multi Scalar Field Models, fields with non standard kinetic terms etc...

All the aforementioned models of Inflation go through the usual paradigm with Inflation occuring and the universe is dominated by the Inflaton. Then the Inflaton energy decays, starting a period of reheating. This reheating fuels the oncoming period of particle production..

But, Dr. Berera proposed a new paradigm of Inflation, where there is no need of reheating known as Warm Inflation ( https://arxiv.org/abs/astro-ph/9509049). Here, the Inflaton starts decaying while Inflation is still going on and until Inflation is complete...

.. the Universe is filled with sufficient radiation that there is no need of reheating. Thus, there came to be two regimes of Inflation ; Warm Inflation where the Inflaton decayed during Inflation and "Cold Inflation" where the Inflaton decays after Inflation..

In recent times, there has been a lot of interest in studying Inflation in modified Cosmological Scenarios. This has led to both Cold and Warm Inflationary Models being studied in scenarios like Braneworld Cosmology, Loop Quantum Cosmology, Entropy Modified Cosmologies etc..

Most of the interest in studying Warm Inflation in such scenarios has been done for special cases ( like https://arxiv.org/abs/0710.3148  and https://arxiv.org/abs/1805.05985 ). So in my work here ( https://www.researchgate.net/publication/342318466_The_Exact_Solution_Approach_to_Warm_Inflation) I...

..sought an approach to Warm Inflation which would allow one to study Single Scalar Field Models ( where the scalar field follows the Klein Gordon Form) in any Cosmological Scenario where the Friedmann Equation can be written as F(H) = \\frac{ 8 \\pi}{3 m_{p}^{2}} \\rho ...

.. where F(H) is some function of the Hubble Parameter, \\rho is the energy density during Warm Inflation ( dominated by the Inflaton) and m_{p} is the reduced planck mass. We are working in c = \\hbar = 1 units here. As is evident, one can get GR Cosmology for F(H) = H^{2}...

A Chern Simons Type of Cosmology can be obtained for F(H) = H^2 - \\alpha H^{4} and one can also get Loop Quantum and Braneworld Cosmologies using this general Friedmann Equation. This kind of Friedmann Equation was explored in ( https://arxiv.org/abs/1212.1315 )..

Further, the Hubble Parameter is used as a function of the Field Variable( an idea which was first explored by @WKCosmo in https://arxiv.org/abs/hep-ph/9702427). With this groundwork, we formulated all the results which are important for any Inflationary Model like...

the e-fold number, Slow Roll and other Parameters ( which are not completely the same as the ones for Cold Inflation as we need to consider parameters which take into account the field decay, something which was first shown by @lucavisinelli https://arxiv.org/abs/1107.3523  )...

..the evolution of the scalar Field and all the stuff regarding primordial density perturbations. After outlining the approach, I then apply this to study Warm Inflation in the low dissipation regime in a Tsallis Entropy Modified Universe ( https://arxiv.org/abs/1806.03996 )....

.. In all this approach reduces to the usual H-J of Dr. Kinney @WKCosmo for F(H) = H^{2} and Q \\approx 0 , the Warm Inflation H-J Approch for only F(H) = H^{2} of Dr.Sayar et al. ( https://arxiv.org/abs/1708.01714 ) and to Dr. Del Campo's Approach for only Q \\approx 0

I will present the work described in this thread at the 9th Cosmology and Structure Formation Workshop to be held at the Korean Institute of Advanced Studies in Early November this year.