  There is an intriguing analogy between the gravitational dynamics of the
horizons and thermodynamics. In case of general relativity, as well as for a
wider class of Lanczos-Lovelock theories of gravity, it is possible to
interpret the field equations near any spherically symmetric horizon as a
thermodynamic identity TdS = dE + PdV. We study this approach further and
generalize the results to two more generic cases within the context of general
relativity: (i) stationary axis-symmetric horizons and (ii) time dependent
evolving horizons. In both the cases, the near horizon structure of Einstein
equations can be expressed as a thermodynamic identity under the virtual
displacement of the horizon. This result demonstrates the fact that the
thermodynamic interpretation of gravitational dynamics is not restricted to
spherically symmetric or static horizons but is quite generic in nature and
indicates a deeper connection between gravity and thermodynamics.
