We present Chandra X-ray Observatory observations of the core of the galaxy cluster PKS 0745–191 .
Its centre shows X-ray cavities caused by AGN feedback and cold fronts with an associated spiral structure .
The cavity energetics imply they are powerful enough to compensate for cooling .
Despite the evidence for AGN feedback , the Chandra and XMM -RGS X-ray spectra are consistent with a few hundred solar masses per year cooling out of the X-ray phase , sufficient to power the emission line nebula .
The coolest X-ray emitting gas and brightest nebula emission is offset by around 5 kpc from the radio and X-ray nucleus .
Although the cluster has a regular appearance , its core shows density , temperature and pressure deviations over the inner 100 kpc , likely associated with the cold fronts .
After correcting for ellipticity and projection effects , we estimate density fluctuations of \sim 4 per cent , while temperature , pressure and entropy have variations of 10 - 12 per cent .
We describe a new code , mbproj , able to accurately obtain thermodynamical cluster profiles , under the assumptions of hydrostatic equilibrium and spherical symmetry .
The forward-fitting code compares model to observed profiles using Markov Chain Monte Carlo and is applicable to surveys , operating on 1000 or fewer counts .
In PKS0745 a very low gravitational acceleration is preferred within 40 kpc radius from the core , indicating a lack of hydrostatic equilibrium , deviations from spherical symmetry or non-thermal sources of pressure .