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Update index.rst
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Expand Up @@ -9,7 +9,7 @@ LANCELOT is the library for the Large Scale Structure of the Universe, that impl
- :math:`f(Q)` gravity with regular fluid, Dynamical Dark Energy (DDE) and massive neutrinos :math:`(1+1)\times2` simulations
- :math:`f(T)` gravity with regular fluid, Dynamical Dark Energy (DDE) and massive neutrinos :math:`(1+1)\times2` simulations
- :math:`f(T,B)` gravity with regular fluid, Dynamical Dark Energy (DDE) and massive neutrinos :math:`(1+1)\times2` simulations
All aforementioned simulations are carried out with the box size :math:`L_{\mathrm{box}}=500\mathrm{\;Mpc}/h`. However, it is planned to also investigate aforementioned theories of gravitation on the smaller scales with bigger resolution of separate galaxies and galaxy clusters (12 simulations in total). For that case, we assume :math:`L_{\mathrm{box}}=100\mathrm{\;Mpc}/h`. Softening scales are redefined accordingly and resolution for each simulation is :math:`N_{\mathrm{p}})^{1/3}=768`. The main goals of our project is to:
All aforementioned simulations are carried out with the box size :math:`L_{\mathrm{box}}=500\mathrm{\;Mpc}/h`. However, it is planned to also investigate aforementioned theories of gravitation on the smaller scales with bigger resolution of separate galaxies and galaxy clusters (12 simulations in total). For that case, we assume :math:`L_{\mathrm{box}}=100\mathrm{\;Mpc}/h`. Softening scales are redefined accordingly and resolution for each simulation is :math:`(N_{\mathrm{p}})^{1/3}=768`. The main goals of our project is to:

- Differentiate different novel modified theories of gravity, based on the teleparallelism or symmetric teleparallelism, define whether those theories are viable or not.
- Investigate and comparate the behaviour of previously mentioned MOG theories with both :math:`\Lambda\mathrm{CDM}` and :math:`\nu\mathrm{CDM}` theories. Constrain the parameter space for all three theories using MCMC (Markov Chain Monte Carlo) approach, study Hubble and :math:`\sigma_8` tensions, matter power spectrum :math:`P(k)` and bispectrum :math:`B(k)`, 2PCF/3PCF and halo mass functions.
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