caa a22 4500 445387653 CHVBK 20180317143036.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s10714-011-1250-2 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1250-2 Komar energy and Smarr formula for noncommutative inspired Schwarzschild black hole [Elektronische Daten] [Rabin Banerjee, Sunandan Gangopadhyay] We calculate the Komar energy E for a noncommutative inspired Schwarzschild black hole. A deformation from the conventional identity E=2ST H is found in the next to leading order computation in the noncommutative parameter θ (i.e. $${\mathcal{O}(\sqrt{\theta}e^{-M^2/\theta})}$$ ) which is also consistent with the fact that the area law now breaks down. This deformation yields a nonvanishing Komar energy at the extremal point T H =0 of these black holes. We then work out the Smarr formula, clearly elaborating the differences from the standard result M=2ST H , where the mass (M) of the black hole is identified with the asymptotic limit of the Komar energy. Similar conclusions are also shown to hold for a deSitter-Schwarzschild geometry. Springer Science+Business Media, LLC, 2011 Komar energy nationallicence Noncommutative blackhole nationallicence Banerjee Rabin Satyendra Nath Bose National Centre for Basic Sciences, Block-JD, Sector-III, Salt Lake, 700098, Kolkata, India aut Gangopadhyay Sunandan Department of Physics, West Bengal State University, Barasat, India aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/11(2011-11-01), 3201-3212 0001-7701 43:11<3201 2011 43 10714 https://doi.org/10.1007/s10714-011-1250-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1250-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Banerjee Rabin Satyendra Nath Bose National Centre for Basic Sciences, Block-JD, Sector-III, Salt Lake, 700098, Kolkata, India aut NATIONALLICENCE 700 1- Gangopadhyay Sunandan Department of Physics, West Bengal State University, Barasat, India aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/11(2011-11-01), 3201-3212 0001-7701 43:11<3201 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer