五维Myers-Perry黑洞的离壳ADT荷
|
摘要
基于离壳推广的Abbott-Deser-Tekin(ADT)定义,给出了五维时空中双转动的Myers-Perry黑洞的离壳ADT质量与角动量等守恒荷。在此基础上,验证了这些守恒荷严格满足黑洞热力学第一定律的微分与积分形式。此外,通过离壳推广的ADT方法与ADM定义以及Komar公式的比较,我们发现,对于五维Myers-Perry黑洞来说,此3种方法给出的守恒荷完全一致。
In this work,we have calculated the conserved charges,such as mass and angular momentum,of five-dimensional rotating Myers-Perry black holes via the off-shell generalized Abbott-DeserTekin(ADT) method.These conserved charges strictly satisfy the differential and integral forms of the first law for black holes.Moreover,we compare the off-shell ADT conserved charges with those via both the formalisms of the well-known ADM and Komar integral,finding that all the results are correspondingly identified with each other.
In this work,we have calculated the conserved charges,such as mass and angular momentum,of five-dimensional rotating Myers-Perry black holes via the off-shell generalized Abbott-DeserTekin(ADT) method.These conserved charges strictly satisfy the differential and integral forms of the first law for black holes.Moreover,we compare the off-shell ADT conserved charges with those via both the formalisms of the well-known ADM and Komar integral,finding that all the results are correspondingly identified with each other.
引文
[1]ABBOTT L F,DESER S.Stability of gravity with a cosmological constant[J].Nucl Phys B,1982,195:76-96.
[2]ABBOTT L F,DESER S.Charge definition in non-abelian gauge theories[J].Phys Lett B,1982,116:259-263.
[3]DESER S,TEKIN B.Gravitational energy in quadratic curvature gravities[J].Phys Rev Lett,2002,Doi:10.1103/Phys Rev Lett.89.101101.
[4]DESER S,TEKIN B.Energy in generic higher curvature gravity theories[J].Phys Rev D,2003,67:084009.
[5]KIM W,KULKARNI S,YI S H.Quasi-local conserved charges in covariant theory of gravity[J].Phys Rev Lett,2013,111:081101.
[6]PENG J J.Conserved charges of black holes in Weyl and Einstein-Gauss-Bonnet gravities[J].Eur Phys J C,2014,74:3156.
[7]HYUN S,JEONG J,PAR S A,YI S H.Quasi-local conserved charges and holography[J].Phys Rev D,2014,90:104016.
[8]PENG J J.Conserved charge of a gravity theory with pform gauge fields and its property under Kaluza-Klein reduction[J].Phys Rev D,2017,95:104022.
[9]MYERS R C,PERRY M J.Black holes in higher dimensional space-times[J].Annals Phys,1986,172:304-347.
[10]LU H,MEI J W,POPE C N.Kerr/CFT correspondence in diverse dimensions[J].J High Energy Phys,2009,4:54.
[2]ABBOTT L F,DESER S.Charge definition in non-abelian gauge theories[J].Phys Lett B,1982,116:259-263.
[3]DESER S,TEKIN B.Gravitational energy in quadratic curvature gravities[J].Phys Rev Lett,2002,Doi:10.1103/Phys Rev Lett.89.101101.
[4]DESER S,TEKIN B.Energy in generic higher curvature gravity theories[J].Phys Rev D,2003,67:084009.
[5]KIM W,KULKARNI S,YI S H.Quasi-local conserved charges in covariant theory of gravity[J].Phys Rev Lett,2013,111:081101.
[6]PENG J J.Conserved charges of black holes in Weyl and Einstein-Gauss-Bonnet gravities[J].Eur Phys J C,2014,74:3156.
[7]HYUN S,JEONG J,PAR S A,YI S H.Quasi-local conserved charges and holography[J].Phys Rev D,2014,90:104016.
[8]PENG J J.Conserved charge of a gravity theory with pform gauge fields and its property under Kaluza-Klein reduction[J].Phys Rev D,2017,95:104022.
[9]MYERS R C,PERRY M J.Black holes in higher dimensional space-times[J].Annals Phys,1986,172:304-347.
[10]LU H,MEI J W,POPE C N.Kerr/CFT correspondence in diverse dimensions[J].J High Energy Phys,2009,4:54.