Modified gravity black hole lensing observables in weak and strong field of gravity

Abstract

We extend a recent work on weak field first order light deflection in the MOdified Gravity (MOG) by comprehensively analyzing the actual observables in gravitational lensing both in the weak and strong field regime. The static spherically symmetric black hole (BH) obtained by Moffat is what we call here the Schwarzschild-MOG (abbreviated as SMOG) containing repulsive Yukawa-like force characterized by the MOG parameter $\alpha >0$ diminishing gravitational attraction. We point out a remarkable feature of SMOG, viz., it resembles a regular \textit{brane-world} BH in the range $-1<\alpha <0$ giving rise to a negative "tidal charge" $Q$ ($=\frac{1}{4}\frac{\alpha }{1+\alpha }$) interpreted as an imprint from the $5D$ bulk with an imaginary source charge $q$ in the brane. The Yukawa-like force of MOG is attractive in the brane-world range enhancing gravitational attraction. For $-\infty <\alpha <-1$, the SMOG represents a naked singularity. Specifically, we shall investigate the effect of $\alpha$ or Yukawa-type forces on the weak (up to third PPN order) and strong field lensing observables. For illustration, we consider the supermassive BH SgrA* with $\alpha =0.055$ for the weak field to quantify the deviation of observables from GR but in general we leave $\alpha$ unrestricted both in sign and magnitude so that future accurate lensing measurements, which are quite challenging, may constrain $\alpha$.

arXiv comment11 pages, 11 figures

References in corpus (53)

• First results from the LUX dark matter experiment at the Sanford Underground Research Facility
• Dark Matter Results from 225 Live Days of XENON100 Data
• Schwarzschild black hole lensing
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Gravitational lensing in the strong field limit
• The geometry of photon surfaces
• Scalar-Tensor-Vector Gravity Theory
• Shadows and strong gravitational lensing: a brief review
• Black holes on the brane
• Search for Low-Mass WIMPs with SuperCDMS
• The orbit of the star S2 around SgrA* from VLT and Keck data
• Relativistic images of Schwarzschild black hole lensing
• A galaxy lacking dark matter
• Reissner-Nordstrom black hole lensing
• Galaxy Rotation Curves Without Non-Baryonic Dark Matter
• Black Holes in Modified Gravity (MOG)
• Gravitational Lensing by Wormholes
• Gravity, Stability and Energy Conservation on the Randall-Sundrum Brane-World
• The MOG weak field approximation and observational test of galaxy rotation curves
• Strong gravitational lensing by braneworld black holes
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Testing General Relativity with the Shadow Size of Sgr A*
• Impact of a global quadratic potential on galactic rotation curves
• Incidences between points and lines on a two-dimensional variety
• Modified Gravity Black Holes and their Observable Shadows
• The Bullet Cluster 1E0657-558 evidence shows Modified Gravity in the absence of Dark Matter
• The MOG Weak Field approximation II. Observational test of Chandra X-ray Clusters
• Galaxy Cluster Masses Without Non-Baryonic Dark Matter
• Light's Bending Angle due to Black Holes: From the Photon Sphere to Infinity
• Sgr A* and General Relativity
• Rotational Velocity Curves in the Milky Way as a Test of Modified Gravity
• Testing modified gravity with globular cluster velocity dispersions
• Timelike geodesics of a modified gravity black hole immersed in an axially symmetric magnetic field
• Ring-down gravitational waves and lensing observables: How far can a wormhole mimic those of a black hole?
• Formalism for testing theories of gravity using lensing by compact objects. II: Probing Post-Post-Newtonian metrics
• Event Horizon Telescope Observations as Probes for Quantum Structure of Astrophysical Black Holes
• Testing General Relativity with Accretion-Flow Imaging of Sgr A*
• Accretion disks around black holes in Scalar-Tensor-Vector Gravity
• Features of galactic halo in a brane world model and observational constraints
• Cosmological observations in a modified theory of gravity (MOG)
• Localizing Sagittarius A* and M87 on Microarcsecond Scales with Millimeter VLBI
• Constraining the distribution of dark matter at the Galactic centre using the high-resolution Event Horizon Telescope
• Propagation of Electromagnetic Waves in MOG: Gravitational Lensing
• Strong field lensing by Damour-Solodukhin wormhole
• Gravitational lensing in the weak field limit by a braneworld black hole
• Neutron stars in Scalar-Tensor-Vector Gravity
• NGC 1052-DF2 And Modified Gravity (MOG) Without Dark Matter
• Quantifying Intrinsic Variability of Sagittarius A* using Closure Phase Measurements of the Event Horizon Telescope
• Applying MOG to lensing: Einstein rings, Abell 520 and the Bullet Cluster
• Seeing the unseeable
• Principal Component Analysis as a Tool for Characterizing Black Hole Images and Variability
• Comment on "Impact of a Global Quadratic Potential on Galactic Rotation Curves"
• Lensing observables: Massless dyonic vis-à-vis Ellis wormhole

Cited by in corpus (19)

• Constraining a modified gravity theory in strong gravitational lensing and black hole shadow observations
• Dark matters on the scale of galaxies
• Testing the equivalence principle via the shadow of black holes
• Harvesting energy driven by Comisso-Asenjo process from Kerr-MOG black holes
• Black hole accretion in scalar-tensor-vector gravity
• Strong lensing by DHOST black holes
• Can accretion properties distinguish between a naked singularity, wormhole and black hole?
• Gravitational synchrotron radiation and Penrose process in STVG theory
• Times of arrival (TOA) of signals in the Kerr-MOG black hole
• Vacuum Brans-Dicke theory in the Jordan and Einstein frames: can they be distinguished by lensing?
• Total light bending in non-asymptotically flat black hole spacetimes
• Comparing accretion disk profiles of Bogush-Galt'sov naked singularity and Kerr black hole
• Galactic microlensing by backreacted massless wormholes
• Boundary-only weak deflection angles from isothermal optical geometry
• Observable strong field effects of extra spacetime dimension in the braneworld black hole
• Can a regular black hole be observationally distinguished from singular black holes as spinning lens partner in PSR-BH binaries?
• Terrestrial Sagnac delay in scalar-tensor-vector-gravity
• Galactic microlensing by acoustic Schwarzschild black holes
• Gravitational lensing by a black hole in Poincar{é} gauge theory of gravity