9 results on '"Zhi-Bang Yao"'
Search Results
2. Minimally modified gravity with auxiliary constraints formalism
- Author
-
Zhi-Bang Yao, Michele Oliosi, Xian Gao, and Shinji Mukohyama
- Subjects
High Energy Physics - Theory ,Cosmology and Nongalactic Astrophysics (astro-ph.CO) ,High Energy Physics - Theory (hep-th) ,FOS: Physical sciences ,General Relativity and Quantum Cosmology (gr-qc) ,General Relativity and Quantum Cosmology ,Astrophysics - Cosmology and Nongalactic Astrophysics - Abstract
We investigate the possibility of reducing the number of degrees of freedom (d.o.f.) starting from generic metric theories of gravity by introducing multiple auxiliary constraints (ACs), under the restriction of retaining spatial covariance as a gauge symmetry. Arbitrary numbers of scalar-, vector- and tensor-type ACs are considered a priori, yet we find that no vector- and tensor-type constraints should be introduced, and that scalar-type ACs should be no more than four for the purpose of constructing minimally modified gravity (MMG) theories which propagate only two tensorial d.o.f., like general relativity (GR). Through a detailed Hamiltonian analysis, we exhaust all the possible classifications of ACs and find out the corresponding minimalizing and symmetrizing conditions for obtaining the MMG theories. In particular, no condition is required in the case of four ACs, hence in this case the theory can couple with matter consistently and naturally. To illustrate our formalism, we build a concrete model for this specific case by using the Cayley-Hamilton theorem and derive the dispersion relation of the gravitational waves, which is subject to constraints from the observations., 15 pages, 1 table, no figure
- Published
- 2023
3. Minimally modified gravity with an auxiliary constraint: a Hamiltonian construction
- Author
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Xian Gao, Zhi-Bang Yao, Shinji Mukohyama, and Michele Oliosi
- Subjects
Physics ,High Energy Physics - Theory ,Spacetime ,Covariance function ,010308 nuclear & particles physics ,Gravitational wave ,General relativity ,FOS: Physical sciences ,General Relativity and Quantum Cosmology (gr-qc) ,01 natural sciences ,General Relativity and Quantum Cosmology ,symbols.namesake ,Formalism (philosophy of mathematics) ,Classical mechanics ,High Energy Physics - Theory (hep-th) ,Dispersion relation ,0103 physical sciences ,symbols ,010306 general physics ,Hamiltonian (quantum mechanics) - Abstract
Working directly with a general Hamiltonian for the spacetime metric with the $3+1$ decomposition and keeping only the spatial covariance, we investigate the possibility of reducing the number of degrees of freedom by introducing an auxiliary constraint. The auxiliary constraint is considered as part of the definition of the theory. Through a general Hamiltonian analysis, we find the conditions for the Hamiltonian as well as for the auxiliary constraint, under which the theory propagates two tensorial degrees of freedom only. The class of theories satisfying these conditions can be viewed as a new construction for the type-II minimally modified gravity theories, which propagate the same degrees of freedom of but are not equivalent to general relativity in the vacuum. We also illustrate our formalism by a concrete example, and derive the dispersion relation for the gravitational waves, which can be constrained by observations., 11 pages
- Published
- 2020
4. Spatially covariant gravity: Perturbative analysis and field transformations
- Author
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Xian Gao, Chao Kang, and Zhi-Bang Yao
- Subjects
Physics ,High Energy Physics - Theory ,010308 nuclear & particles physics ,Degenerate energy levels ,FOS: Physical sciences ,General Relativity and Quantum Cosmology (gr-qc) ,Covariance ,01 natural sciences ,General Relativity and Quantum Cosmology ,Gravitation ,Nonlinear system ,symbols.namesake ,Classical mechanics ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,Homogeneous space ,Time derivative ,symbols ,Covariant transformation ,010306 general physics ,Hamiltonian (quantum mechanics) - Abstract
We make a perturbative analysis of the number of degrees of freedom in a large class of metric theories respecting spatial symmetries, of which the Lagrangian includes kinetic terms of both the spatial metric and the lapse function. We show that, as long as the kinetic terms are degenerate, the theory propagates a single scalar mode at the linear order in perturbations around a Friedmann-Robertson-Walker background. Nevertheless, an unwanted mode will reappear pathologically, either at nonlinear orders around the Friedmann-Robertson-Walker background, or at linear order around an inhomogeneous background. In both cases, it turns out that a consistency condition has to be imposed in order to remove the unwanted mode. This perturbative approach provides an alternative and also complementary point of view of the conditions derived in a Hamiltonian analysis. We also discuss the relation under field redefinitions, between theories with and without the time derivative of the lapse function., 20 pages, v2, matches the PRD version
- Published
- 2019
5. Spatially covariant gravity theories with two tensorial degrees of freedom: the formalism
- Author
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Zhi-Bang Yao and Xian Gao
- Subjects
Physics ,High Energy Physics - Theory ,General relativity ,Space time ,Degrees of freedom (statistics) ,FOS: Physical sciences ,General Relativity and Quantum Cosmology (gr-qc) ,Curvature ,General Relativity and Quantum Cosmology ,Gravitation ,symbols.namesake ,High Energy Physics - Theory (hep-th) ,Phase space ,symbols ,Covariant transformation ,Hamiltonian (quantum mechanics) ,Mathematical physics - Abstract
Within the general framework of spatially covariant theories of gravity, we study the conditions for having only the two tensorial degrees of freedom. Generally, there are three degrees of freedom propagating in the theory, of which two are tensorial and one is of the scalar type. Through a detailed Hamiltonian analysis, we find two necessary and sufficient conditions to evade the scalar type degree of freedom. The first condition implies that the lapse-extrinsic curvature sector must be degenerate. The second condition ensures that the dimension of the phase space at each spacetime point is even, so that the scalar type degree of freedom is eliminated completely. We also compare our results with the previous studies, and apply our formalism to a simple example, in which the Lagrangian is quadratic in the extrinsic curvature., Comment: 14 pages
- Published
- 2019
- Full Text
- View/download PDF
6. Spatially covariant gravity with velocity of the lapse function: the Hamiltonian analysis
- Author
-
Zhi-Bang Yao and Xian Gao
- Subjects
High Energy Physics - Theory ,Large class ,Physics ,Covariance function ,010308 nuclear & particles physics ,Degenerate energy levels ,FOS: Physical sciences ,Astronomy and Astrophysics ,General Relativity and Quantum Cosmology (gr-qc) ,Covariance ,Kinetic energy ,01 natural sciences ,General Relativity and Quantum Cosmology ,Gravitation ,symbols.namesake ,Classical mechanics ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,symbols ,Covariant transformation ,Hamiltonian (quantum mechanics) - Abstract
We investigate a large class of gravity theories that respect spatial covariance, and involve kinetic terms for both the spatial metric and the lapse function. Generally such kind of theories propagate four degrees of freedom, one of which is an unwanted scalar mode. Through a detailed Hamiltonian analysis, we find that the condition requiring the kinetic terms to be degenerate is not sufficient to evade the unwanted scalar mode in general. This is because the primary constraint due to the degeneracy condition does not necessarily induce a secondary constraint, if the mixing terms between temporal and spatial derivatives are present. In this case, the second condition that we dub as the consistency condition must be imposed in order to ensure the existence of the secondary constraint and thus to remove the unwanted mode. We also show how our formalism works through an explicit example, in which the degeneracy condition is not sufficient and thus the consistency condition must be imposed., Comment: 37 pages; v4, matching the JCAP version
- Published
- 2019
7. Dipotassium tetra-aqua-bis-(μ-citrato-κ(4) O:O',O',O'')nickelate(II) tetra-hydrate
- Author
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Jia-Na Huang, Hua-Gang Yao, Run-Kang Deng, and Zhi-Bang Yao
- Subjects
Metal-Organic Papers ,Crystallography ,Chemistry ,Hydrogen bond ,General Materials Science ,General Chemistry ,Data mining ,Condensed Matter Physics ,computer.software_genre ,computer - Abstract
The title complex, K2[Ni2(C6H5O7)2(H2O)4]·4H2O, is a dinuclear centrosymmetric anionic octa-hedral complex, involv-ing citrates as tridentate and bridging ligands, and coordinating water mol-ecules. An extensive network of hydrogen bonds connects the complex anions through the two unique uncoordinating water mol-ecules. The K(+) counter cation is surrounded by seven O atoms in the form of an irregular polyhedron and further stabilizes the crystal packing.
- Published
- 2013
8. Minimally modified gravity with an auxiliary constraint: A Hamiltonian construction.
- Author
-
Zhi-Bang Yao, Michele Oliosi, Xian Gao, and Shinji Mukohyama
- Subjects
- *
DEGREES of freedom , *GRAVITY , *SPACETIME , *GENERAL relativity (Physics) - Abstract
Working directly with a general Hamiltonian for the spacetime metric with the 3 + 1 decomposition and keeping only the spatial covariance, we investigate the possibility of reducing the number of degrees of freedom by introducing an auxiliary constraint. The auxiliary constraint is considered as part of the definition of the theory. Through a general Hamiltonian analysis, we find the conditions for the Hamiltonian as well as for the auxiliary constraint, under which the theory propagates two tensorial degrees of freedom only. The class of theories satisfying these conditions can be viewed as a new construction for the type-II minimally modified gravity theories, which propagate the same degrees of freedom of but are not equivalent to general relativity in the vacuum. We also illustrate our formalism by a concrete example and derive the dispersion relation for the gravitational waves, which can be constrained by observations. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF
9. Spatially covariant gravity theories with two tensorial degrees of freedom: The formalism.
- Author
-
Xian Gao and Zhi-Bang Yao
- Subjects
- *
DEGREES of freedom , *LAGRANGIAN mechanics , *GRAVITY , *CURVATURE - Abstract
Within the general framework of spatially covariant theories of gravity, we study the conditions for having only the two tensorial degrees of freedom. Generally, there are three degrees of freedom propagating in the theory, of which two are tensorial and one is of the scalar type. Through a detailed Hamiltonian analysis, we find two necessary and sufficient conditions to evade the scalar type degree of freedom. The first condition implies that the lapse function-extrinsic curvature sector must be degenerate. The second condition ensures that the dimension of the phase space at each spacetime point is even, so that the scalar type degree of freedom is eliminated completely. We also compare our results with the previous studies, and apply our formalism to a simple example, in which the Lagrangian is quadratic in the extrinsic curvature. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
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