# LANCELOT¶

LANCELOT is the library for the Large Scale Structure of the Universe, that implements various modified theories of gravitation, such as \(f(Q)\), \(f(T)\) and \(f(T,B)\) gravities in the presence of massive neutrinos. Our library consists of 24 separate simulations:

\(f(Q)\) gravity with regular fluid, Dynamical Dark Energy (DDE) and massive neutrinos \((1+1)\times2\) simulations

\(f(T)\) gravity with regular fluid, Dynamical Dark Energy (DDE) and massive neutrinos \((1+1)\times2\) simulations

\(f(T,B)\) gravity with regular fluid, Dynamical Dark Energy (DDE) and massive neutrinos \((1+1)\times2\) simulations

All aforementioned simulations are carried out with the box size \(L_{\mathrm{box}}=500\mathrm{\;Mpc}/h\). 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 \(L_{\mathrm{box}}=100\mathrm{\;Mpc}/h\). Softening scales are redefined accordingly and resolution for each simulation is \((N_{\mathrm{p}})^{1/3}=768\). 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 \(\Lambda\mathrm{CDM}\) and \(\nu\mathrm{CDM}\) theories. Constrain the parameter space for all three theories using MCMC (Markov Chain Monte Carlo) approach, study Hubble and \(\sigma_8\) tensions, matter power spectrum \(P(k)\) and bispectrum \(B(k)\), 2PCF/3PCF and halo mass functions.