On the global Gaussian bending measure and its applications in stationary spacetimes
arXiv:2408.02195 · doi:10.1088/1361-6382/add788
Abstract
Modified gravity theories have been suggested to address the limitations of general relativity, each exhibiting differences, particularly in their strong-field limits. Nonetheless, there lacks effective means to distinguish or test these theories through local strong-field measurements. In this work, we define a global Gaussian bending measure over singular spacetime regions, establish a corresponding global theory, and demonstrate its applications in a general stationary spacetime. The global theory is based on differential geometry, rather than on specific gravity theories, allowing it to depict various physics within general relativity and beyond. For example, it can be applied to describe the gravitational bending of massless or massive messengers, such as photons, neutrinos, cosmic rays, and possibly massive gravitational waves predicted in certain theories of gravity. Besides, the global theory is applicable to any stationary spacetime regions outside a rotating black hole. As an instance of its direct applications, we investigate the highly-curved spacetime effects of the black hole in its immediate surrounding regions and design local strong-field experiments involving different shapes of singular lensing patches. New means can be therefore anticipated to be developed according to the global theory to differentiate between different gravity theories and test them in their strong-field regions.
arXiv comment37 pages, 4 figures, 2 tables. Published in Classical and Quantum Gravity
References in corpus (49)
- Generalized G-inflation: Inflation with the most general second-order field equations
- Schwarzschild black hole lensing
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- Calculating black hole shadows: Review of analytical studies
- Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
- Measurement of the Kerr Spin Parameter by Observation of a Compact Object's Shadow
- Applications of the Gauss-Bonnet theorem to gravitational lensing
- Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
- Gravitational lensing in the Kerr-Randers optical geometry
- Spatially resolved rotation of the broad-line region of a quasar at sub-parsec scale
- Lanczos-Lovelock models of gravity
- A new relativistic theory for Modified Newtonian Dynamics
- The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
- Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem
- Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
- Bending of Light in Quantum Gravity
- Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
- Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field
- Dehnen halo effect on a black hole in an ultra-faint dwarf galaxy
- Dark matter effect on the weak deflection angle by black holes at the center of Milky Way and M87 galaxies
- Light Deflection and Gauss-Bonnet Theorem: Definition of Total Deflection Angle and its Applications
- Effect of Lorentz Symmetry Breaking on the Deflection of Light in a Cosmic String Spacetime
- Static spherical vacuum solutions in the bumblebee gravity model
- Gravitational deflection angle of light: Definition by an observer and its application to an asymptotically nonflat spacetime
- Evidence for an intermediate-mass black hole from a gravitationally lensed gamma-ray burst
- Low Energy Theorems of Quantum Gravity from Effective Field Theory
- Effect of the cosmological constant on the bending of light and the cosmological lens equation
- Geometrization of light bending and its application to SdSw spacetime
- Geometric Approach to Circular Photon Orbits and Black Hole Shadows
- Light Deflection, Lensing, and Time Delays from Gravitational Potentials and Fermat's Principle in the Presence of a Cosmological Constant
- Gravitational Lensing by Black Holes with Multiple Photon Spheres
- Gravitational lens without asymptotic flatness: Its application to the Weyl gravity
- Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo
- GRB 200716C: Evidence for a Short Burst Being Lensed
- Eikonal quasinormal modes and photon orbits of deformed Schwarzschild black holes
- The Gravitational Bending of Acoustic Schwarzschild Black Hole
- A Search for Millilensing Gamma-Ray Bursts in the Observations of Fermi GBM
- Teleparallel gravity
- Dressed black holes in the new tensor-vector-scalar theory
- Shadow and weak deflection angle of a black hole in nonlocal gravity
- Deflection and Gravitational lensing of null and timelike signals in the Kiselev black hole spacetime in the weak field limit
- Total light bending in non-asymptotically flat black hole spacetimes
- The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional manifolds
- Solar system relativity tests, formulas for light deflection by a central mass, and modification of the lens equation, for a Weyl scaling invariant dark energy
- Cosmological future singularities in massive gravity and massive bigravity
- Imprints of a gravitational wave through the weak field deflection of photons
- Probing dark fluids and modified gravity with gravitational lensing
- Signatures of cubic gravity in the strong regime
- Atom interferometers and a small-scale test of general relativity