On the Laws of Black Hole Mechanics for Hairy Black Holes

Abstract

The first chapter gives a brief introduction to the subject of blackhole thermodynamics and highlights the motivation behind our work. The second chapter basically provides a brief review of the general theory of relativity and goes on to discuss the different types of "standard" blackholes. The third chapter gives a review of the four laws of thermodynamics and discusses the corresponding laws of blackhole mechanics and their analogy with the thermodynamic laws. It also provides an introduction to the Generalised second law and shows how it resolved the glaring aws in the thermodynamic analogy of the laws of blackhole mechanics. The fourth chapter basically discusses the No Hair Conjecture and provides an introduction to the "hairy" blackholes. The fifth chapter is devoted to our work, where we considered two scalar hairy blackholes (the Garfinkle-Horowitz-Strominger Dilaton blackhole and the scalar hairy Reissner-Noirdstrom blackhole ) and investigated how the first law of black hole mechanics gets modified due to the presence of the scalar hair. And finally the last chapter discusses the nature of the scalar hair of the blackholes mentioned in chapter five and analyses the results we obtained.