Since product metric on AdS space has played a very important role in Lorentz version of AdS/CFT correspondence, the Yang Mills equation on AdS space with this metric is considered and a static solution is obtained in...Since product metric on AdS space has played a very important role in Lorentz version of AdS/CFT correspondence, the Yang Mills equation on AdS space with this metric is considered and a static solution is obtained in this paper, which helps to understand the AdS/CFT correspondence of Yang Mills fields.展开更多
Through the gauge field theory, we obtain the solution of the DBI-AdS black hole, In the meantime, according to the relations between the action and the grand partition function, we obtain the grand partition function...Through the gauge field theory, we obtain the solution of the DBI-AdS black hole, In the meantime, according to the relations between the action and the grand partition function, we obtain the grand partition function in the DBI-AdS black hole. The temperature and the potential of the DBI-AdS black hole are gained from differential of the grand partition function. With the thermodynamic relations, other thermodynamics are also obtained. The solution and the thermodynamics of the DBI-AdS black hole are turned out that they can reduce to the case of a charged black hole in four-dimensional spacetimes.展开更多
In this paper,the extremals of curvature energy actions on non-null Frenet curves in 3-dimensional Anti-de Sitter space are studied.We completely solve the Euler-Lagrange equation by quadratures.By using the Killing f...In this paper,the extremals of curvature energy actions on non-null Frenet curves in 3-dimensional Anti-de Sitter space are studied.We completely solve the Euler-Lagrange equation by quadratures.By using the Killing fields,we obtain existence for closed general-ized elastica fully immersed in Anti-de Sitter space H_1~3.展开更多
A spacelike surface M in 3-dimensional de sitter space S13 or 3-dimensional anti-de Sitter space H13 is called isoparametric, if M has constant principal curvatures. A timelike surface is called isoparametric, if its ...A spacelike surface M in 3-dimensional de sitter space S13 or 3-dimensional anti-de Sitter space H13 is called isoparametric, if M has constant principal curvatures. A timelike surface is called isoparametric, if its minimal polynomial of the shape operator is constant. In this paper, we determine the spacelike isoparametric surfaces and the timelike isoparametric surfaces in S13 and H13.展开更多
In this paper,we consider a possible modification of the de Sitter and anti-de Sitter space for the extended uncertainty principle.For the modified anti-de Sitter model we discuss the representation and wave functions...In this paper,we consider a possible modification of the de Sitter and anti-de Sitter space for the extended uncertainty principle.For the modified anti-de Sitter model we discuss the representation and wave functions of the momentum operator for a one-dimensional box problem.Also,we consider modified Snyder and anti-Snyder models for the generalized uncertainty principle.Then,we assume the Hamiltonian with different potential and solve the Heisenberg algebra for the modified(anti)-de Sitter and(anti)-Snyder models in both position and in the momentum space.展开更多
We investigate the critical collapse of spherically symmetric scalar fields in asymptotically anti-de Sitter spacetime,focusing on two scenarios:real and complex scalar fields with potentials.By fine-tuning the amplit...We investigate the critical collapse of spherically symmetric scalar fields in asymptotically anti-de Sitter spacetime,focusing on two scenarios:real and complex scalar fields with potentials.By fine-tuning the amplitude of the initial scalar field under different cosmological constants,we find a linear relationship between the critical amplitude of the first collapse and the cosmological constant in both scenarios.Furthermore,we observe that the slope of this linear relationship varies linearly with coupling strength.展开更多
The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch(2022)and for the non-spin case by Chu and Zhu(2024).In this paper,we generalize the positive energy theorem f...The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch(2022)and for the non-spin case by Chu and Zhu(2024).In this paper,we generalize the positive energy theorem for 3-dimensional asymptotically anti-de Sitter initial data sets to weighted asymptotically antide Sitter initial data sets assuming that the weighted dominant energy condition holds.展开更多
基金Supported by National Key Basic Research Program of China under Grant No. 2004CB31800；National Natural Science Foundation of China under Grant No. 10375087；CUMT Foundation for Youth under Grant No. 2008A034, Qihang Project and Innovation Project of CUMT
文摘Since product metric on AdS space has played a very important role in Lorentz version of AdS/CFT correspondence, the Yang Mills equation on AdS space with this metric is considered and a static solution is obtained in this paper, which helps to understand the AdS/CFT correspondence of Yang Mills fields.
文摘Through the gauge field theory, we obtain the solution of the DBI-AdS black hole, In the meantime, according to the relations between the action and the grand partition function, we obtain the grand partition function in the DBI-AdS black hole. The temperature and the potential of the DBI-AdS black hole are gained from differential of the grand partition function. With the thermodynamic relations, other thermodynamics are also obtained. The solution and the thermodynamics of the DBI-AdS black hole are turned out that they can reduce to the case of a charged black hole in four-dimensional spacetimes.
基金Supported by the NSF of China(10671066,10971066)Supported by the Shanghai Leading Academic Discipline Project(B407)
文摘In this paper,the extremals of curvature energy actions on non-null Frenet curves in 3-dimensional Anti-de Sitter space are studied.We completely solve the Euler-Lagrange equation by quadratures.By using the Killing fields,we obtain existence for closed general-ized elastica fully immersed in Anti-de Sitter space H_1~3.
文摘A spacelike surface M in 3-dimensional de sitter space S13 or 3-dimensional anti-de Sitter space H13 is called isoparametric, if M has constant principal curvatures. A timelike surface is called isoparametric, if its minimal polynomial of the shape operator is constant. In this paper, we determine the spacelike isoparametric surfaces and the timelike isoparametric surfaces in S13 and H13.
文摘In this paper,we consider a possible modification of the de Sitter and anti-de Sitter space for the extended uncertainty principle.For the modified anti-de Sitter model we discuss the representation and wave functions of the momentum operator for a one-dimensional box problem.Also,we consider modified Snyder and anti-Snyder models for the generalized uncertainty principle.Then,we assume the Hamiltonian with different potential and solve the Heisenberg algebra for the modified(anti)-de Sitter and(anti)-Snyder models in both position and in the momentum space.
基金Supported by the National Natural Science Foundation of China(11925503).
文摘We investigate the critical collapse of spherically symmetric scalar fields in asymptotically anti-de Sitter spacetime,focusing on two scenarios:real and complex scalar fields with potentials.By fine-tuning the amplitude of the initial scalar field under different cosmological constants,we find a linear relationship between the critical amplitude of the first collapse and the cosmological constant in both scenarios.Furthermore,we observe that the slope of this linear relationship varies linearly with coupling strength.
基金supported by National Natural Science Foundation of China(Grant No.12326602)the special foundation for Guangxi Ba Gui Scholars and Junwu Scholars。
文摘The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch(2022)and for the non-spin case by Chu and Zhu(2024).In this paper,we generalize the positive energy theorem for 3-dimensional asymptotically anti-de Sitter initial data sets to weighted asymptotically antide Sitter initial data sets assuming that the weighted dominant energy condition holds.
