Metric tensor ≈ Metric tensor
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Geometric orbital susceptibility: Quantum metric without Berry curvature Open
The orbital magnetic susceptibility of an electron gas in a periodic\npotential depends not only on the zero field energy spectrum but also on the\ngeometric structure of cell-periodic Bloch states which encodes interband\neffects. In addi…
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Propagation of gravitational waves in symmetric teleparallel gravity theories Open
Symmetric teleparallel gravity (STG) offers an interesting third geometric\ninterpretation of gravitation besides its formulation in terms of a spacetime\nmetric and Levi-Civita connection or its teleparallel formulation. It describes\ngra…
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Bardeen regular black hole with an electric source Open
If some energy conditions on the stress-energy tensor are violated, is\npossible construct regular black holes in General Relativity and in alternative\ntheories of gravity. This type of solution has horizons but does not present\nsingular…
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Classical Simulation of Quantum Supremacy Circuits Open
It is believed that random quantum circuits are difficult to simulate classically. These have been used to demonstrate quantum supremacy: the execution of a computational task on a quantum computer that is infeasible for any classical comp…
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Revealing Tensor Monopoles through Quantum-Metric Measurements Open
Monopoles are intriguing topological objects, which play a central role in gauge theories and topological states of matter. While conventional monopoles are found in odd-dimensional flat spaces, such as the Dirac monopole in three dimensio…
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Cosmological implications of modified gravity induced by quantum metric fluctuations Open
\n We investigate the cosmological implications of modified gravities induced by the quantum fluctuations of the gravitational metric. If the metric can be decomposed as the sum of the classical and of a fluctuating part, of quantum origin…
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Quark stars in $$f(T, \mathcal {T})$$ f ( T , T ) -gravity Open
\n We derive a working model for the Tolman–Oppenheimer–Volkoff equation for quark star systems within the modified $$f(T, \\mathcal {T})$$-gravity class of models. We consider $$f(T, \\mathcal {T})$$-gravity for a static spherically symme…
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Quantum geometric tensor in -symmetric quantum mechanics Open
10.1103/PhysRevA.99.042104
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LIGO GW150914 and GW151226 gravitational wave detection and generalized gravitation theory (MOG) Open
The nature of gravitational waves in a generalized gravitation theory is investigated. The linearized field equations and the metric tensor quadrupole moment power and the decrease in radius of an inspiralling binary system of two compact …
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A new unified theory of electromagnetic and gravitational interactions Open
In this paper we present a new unified theory of electromagnetic and gravitational interactions. By considering a four-dimensional spacetime as a hypersurface embedded in a five-dimensional bulk spacetime, we derive the complete set of fie…
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Separation of variables in Maxwell equations in Plebański-Demiański spacetime Open
A new method for separating variables in Maxwell's equations in four- and\nhigher-dimensional Kerr-(A)dS spacetimes proposed recently by Lunin is\ngeneralized to any off-shell metric that admits a principal Killing-Yano\ntensor. The key ob…
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Acoustic black holes in curved spacetime and the emergence of analogue Minkowski spacetime Open
Gravity is not only able to be mimicked in flat spacetimes, but also in curved spacetimes. We study analogue gravity models in curved spacetime by considering the relativistic Gross-Pitaevskii theory and Yang-Mills theory in the fixed back…
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Steady-state Hall response and quantum geometry of driven-dissipative lattices Open
We study the effects of the quantum geometric tensor, i.e., the Berry\ncurvature and the Fubini-Study metric, on the steady state of\ndriven-dissipative bosonic lattices. We show that the quantum-Hall-type\nresponse of the steady-state wav…
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On the energy momentum tensor Open
We clarify the relation among canonical, metric and Belinfante's energy-momentum tensors for general tensor field theories. For any tensor field T, we define a new tensor field T̃ in terms of which metric and Belinfante's energy-momentum te…
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Perfect Fluid Spacetimes and Gradient Solitons Open
In this article, we investigate perfect fluid spacetimes equipped with concircular vector field. At first, in a perfect fluid spacetime admitting concircular vector field, we prove that the velocity vector field annihilates the conformal c…
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Black hole solutions in scalar-tensor symmetric teleparallel gravity Open
Symmetric teleparallel gravity is constructed with a nonzero nonmetricity tensor while both torsion and curvature are vanishing. In this framework, we find exact scalarised spherically symmetric static solutions in scalar-tensor theories b…
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Transport information geometry I: Riemannian calculus on probability simplex Open
We formulate the Riemannian calculus of the probability set embedded with $L^2$-Wasserstein metric. This is an initial work of transport information geometry. Our investigation starts with the probability simplex (probability manifold) sup…
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The Effect of f(R, T) Modified Gravity on the Mass and Radius of Pulsar HerX1 Open
Millisecond pulsars are the perfect testable to examine potential matter-geometry coupling and its physical consequences in the context of the recent Neutron Star Interior Composition Explorer discoveries. We apply the field equations of m…
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Screening mechanism in degenerate higher-order scalar-tensor theories evading gravitational wave constraints Open
We consider a subclass of degenerate higher-order scalar-tensor (DHOST)\ntheories in which gravitational waves propagate at the speed of light and do\nnot decay into scalar fluctuations. The screening mechanism in DHOST theories\nevading t…
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To Foundations of General Theory Relativity Open
It i s shown that the foundations of the generally accepted theory contain a number of contradictory and unfounded statements. The geometric properties of the three-dimensional Riemannian space are successively described. It is shown that …
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Mass-Charge Metric in Curved Spacetime Open
In the context of gravitational objects with spherical symmetry, we derive a solution to Einstein’s field equations using two methods leading to the same result. The first is based on a stress-energy tensor that takes into account both the…
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Premetric equivalent of general relativity: Teleparallelism Open
In general relativity (GR), the metric tensor of spacetime is essential since\nit represents the gravitational potential. In other gauge theories (such as\nelectromagnetism), the so-called premetric approach succeeds in separating the\npur…
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Generalized Rastall’s gravity and its effects on compact objects Open
In this paper, we present a generalization of Rastall’s gravity in which the conservation law of the energy–momentum tensor is altered, and as a result, the trace of the energy–momentum tensor is taken into account together with the Ricci …
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Killing Tensor and Carter Constant for Painlevé–Gullstrand Form of Lense–Thirring Spacetime Open
Recently, the authors have formulated and explored a novel Painlevé–Gullstrand variant of the Lense–Thirring spacetime, which has some particularly elegant features, including unit-lapse, intrinsically flat spatial 3-slices, and some parti…
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Geodesic mappings of quasi-Einstein spaces with a constant scalar curvature Open
In this paper we study a special type of pseudo-Riemannian spaces - quasi-Einstein spaces of constant scalar curvature. These spaces are generalizations of known Einstein spaces. We obtained a linear form of the basic equations of the theo…
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Hamilton-Jacobi approach to potential functions in information geometry Open
The search for a potential function S allowing us to reconstruct a given metric tensor g and a given symmetric covariant tensor T on a manifold M is formulated as the Hamilton-Jacobi problem associated with a canonically defined Lagrangian…
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Interior solution for the Kerr metric Open
A, recently presented, general procedure to find static and axially symmetric, interior solutions to the Einstein equations, is extended to the stationary case, and applied to find an interior solution for the Kerr metric. The solution, wh…
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Higher-curvature corrections and tensor modes Open
Higher-curvature corrections to the effective gravitational action may leave signatures in the spectrum of primordial tensor perturbations if the inflationary energy scale is sufficiently high. In this paper we further investigate the effe…
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Generating exact solutions to Einstein’s equation using linearized approximations Open
We show that certain solutions to the linearized Einstein equation can---by\nthe application of a particular type of linearized gauge transformation---be\nstraightforwardly transformed into solutions of the exact Einstein equation. In\ncas…
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Codazzi tensors and their space-times and Cotton gravity Open
We study the geometric properties of certain Codazzi tensors for their own sake, and for their appearance in the recent theory of Cotton gravity. We prove that a perfect-fluid tensor is Codazzi if and only if the metric is a generalized St…