Virial relation and first law of thermodynamics in scalar-tensor theories of gravity

2013 ◽  
Vol 87 (10) ◽  
Author(s):  
Masaru Shibata ◽  
Kyohei Kawaguchi
2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Mario Herrero-Valea ◽  
Stefano Liberati ◽  
Raquel Santos-Garcia

Abstract The persistence of a suitable notion of black hole thermodynamics in Lorentz breaking theories of gravity is not only a non-trivial consistency test for such theories, it is also an interesting investigation per se, as it might help us identifying the crucial features at the root of these surprising laws governing such purely gravitational objects. In past investigations, controversial findings were presented in this sense. With the aim of settling this issue, we present here two complementary derivations of Hawking radiation in geometries endowed with universal horizons: a novel feature of back holes in Lorentz breaking theories of gravity which reproduces several properties normally characterizing Killing horizons. We find that both the derivations agree on the fact that the Hawking temperature associated to these geometries is set by the generalized universal horizon peeling surface gravity, as required for consistency with extant derivations of the first law of thermodynamics for these black holes. We shall also comment on the compatibility of our results with previous alternative derivations and on their significance for the survival of the generalized second law of black hole thermodynamics in Lorentz breaking theories of gravity.


2011 ◽  
Vol 19 (2) ◽  
pp. 159 ◽  
Author(s):  
Jaime Wisniak

Los conceptos de masa, movimiento y energía han ocupado la atención de filósofos y científicos desde tiempos ancestrales. Aun cuando hubo muchos que creían que la masa y la energía se conservaban, debieron pasar muchos años hasta que la primera ley de la termodinámica adquiriera su forma actual. La ley de conservación de la energía es uno de los principios fundamentales del mundo físico como lo entendemos hoy. Negar la posibilidad del movimiento perpetuo le coloca un límite superior a la utilización de la energía y a la eficiencia termodinámica de un proceso.


2016 ◽  
Vol 117 (9) ◽  
Author(s):  
Andrea Maselli ◽  
Stefania Marassi ◽  
Valeria Ferrari ◽  
Kostas Kokkotas ◽  
Raffaella Schneider

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Juan Hernandez ◽  
Robert C. Myers ◽  
Shan-Ming Ruan

Abstract We examine holographic complexity in the doubly holographic model introduced in [1, 2] to study quantum extremal islands. We focus on the holographic complexity=volume (CV) proposal for boundary subregions in the island phase. Exploiting the Fefferman-Graham expansion of the metric and other geometric quantities near the brane, we derive the leading contributions to the complexity and interpret these in terms of the generalized volume of the island derived from the induced higher-curvature gravity action on the brane. Motivated by these results, we propose a generalization of the CV proposal for higher curvature theories of gravity. Further, we provide two consistency checks of our proposal by studying Gauss-Bonnet gravity and f(ℛ) gravity in the bulk.


2021 ◽  
Vol 104 (2) ◽  
Author(s):  
Scott E. Perkins ◽  
Remya Nair ◽  
Hector O. Silva ◽  
Nicolás Yunes

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