# Probing the cosmic distance duality relation using time delay lenses

## Abstract

The construction of the cosmic distance-duality relation (CDDR) has been widely studied. However, its consistency with various new observables remains a topic of interest. We present a new way to constrain the CDDR η( z ) using different dynamic and geometric properties of strong gravitational lenses (SGL) along with SNe Ia observations. We use a sample of 102 SGL with the measurement of corresponding velocity dispersion σ{sub 0} and Einstein radius θ {sub E} . In addition, we also use a dataset of 12 two image lensing systems containing the measure of time delay Δ t between source images. Jointly these two datasets give us the angular diameter distance D {sub A} {sub ol} of the lens. Further, for luminosity distance, we use the 740 observations from JLA compilation of SNe Ia. To study the combined behavior of these datasets we use a model independent method, Gaussian Process (GP). We also check the efficiency of GP by applying it on simulated datasets, which are generated in a phenomenological way by using realistic cosmological error bars. Finally, we conclude that the combined bounds from the SGL and SNe Ia observation do not favor any deviation of CDDR and are in concordancemore »

- Authors:

- Department of Physics and Astrophysics, University of Delhi, Delhi 110007 (India)
- Deen Dayal Upadhyaya College, University of Delhi, Sector-3, Dwarka, New Delhi 110078 (India)
- Departamento de Física, Universidade Federal de Sergipe, 49100-000, Aracaju—SE (Brazil)

- Publication Date:

- OSTI Identifier:
- 22676115

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 07; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL MODELS; DATASETS; DISPERSIONS; DISTANCE; DUALITY; EFFICIENCY; GAUSSIAN PROCESSES; GRAVITATIONAL LENSES; IMAGES; LUMINOSITY; SIMULATION; TIME DELAY; TYPE I SUPERNOVAE; VELOCITY

### Citation Formats

```
Rana, Akshay, Mahajan, Shobhit, Mukherjee, Amitabha, Jain, Deepak, and Holanda, R.F.L., E-mail: montirana1992@gmail.com, E-mail: djain@ddu.du.ac.in, E-mail: shobhit.mahajan@gmail.com, E-mail: amimukh@gmail.com, E-mail: holanda@uepb.edu.br.
```*Probing the cosmic distance duality relation using time delay lenses*. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/07/010.

```
Rana, Akshay, Mahajan, Shobhit, Mukherjee, Amitabha, Jain, Deepak, & Holanda, R.F.L., E-mail: montirana1992@gmail.com, E-mail: djain@ddu.du.ac.in, E-mail: shobhit.mahajan@gmail.com, E-mail: amimukh@gmail.com, E-mail: holanda@uepb.edu.br.
```*Probing the cosmic distance duality relation using time delay lenses*. United States. doi:10.1088/1475-7516/2017/07/010.

```
Rana, Akshay, Mahajan, Shobhit, Mukherjee, Amitabha, Jain, Deepak, and Holanda, R.F.L., E-mail: montirana1992@gmail.com, E-mail: djain@ddu.du.ac.in, E-mail: shobhit.mahajan@gmail.com, E-mail: amimukh@gmail.com, E-mail: holanda@uepb.edu.br. Sat .
"Probing the cosmic distance duality relation using time delay lenses". United States.
doi:10.1088/1475-7516/2017/07/010.
```

```
@article{osti_22676115,
```

title = {Probing the cosmic distance duality relation using time delay lenses},

author = {Rana, Akshay and Mahajan, Shobhit and Mukherjee, Amitabha and Jain, Deepak and Holanda, R.F.L., E-mail: montirana1992@gmail.com, E-mail: djain@ddu.du.ac.in, E-mail: shobhit.mahajan@gmail.com, E-mail: amimukh@gmail.com, E-mail: holanda@uepb.edu.br},

abstractNote = {The construction of the cosmic distance-duality relation (CDDR) has been widely studied. However, its consistency with various new observables remains a topic of interest. We present a new way to constrain the CDDR η( z ) using different dynamic and geometric properties of strong gravitational lenses (SGL) along with SNe Ia observations. We use a sample of 102 SGL with the measurement of corresponding velocity dispersion σ{sub 0} and Einstein radius θ {sub E} . In addition, we also use a dataset of 12 two image lensing systems containing the measure of time delay Δ t between source images. Jointly these two datasets give us the angular diameter distance D {sub A} {sub ol} of the lens. Further, for luminosity distance, we use the 740 observations from JLA compilation of SNe Ia. To study the combined behavior of these datasets we use a model independent method, Gaussian Process (GP). We also check the efficiency of GP by applying it on simulated datasets, which are generated in a phenomenological way by using realistic cosmological error bars. Finally, we conclude that the combined bounds from the SGL and SNe Ia observation do not favor any deviation of CDDR and are in concordance with the standard value (η=1) within 2σ confidence region, which further strengthens the theoretical acceptance of CDDR.},

doi = {10.1088/1475-7516/2017/07/010},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 07,

volume = 2017,

place = {United States},

year = {Sat Jul 01 00:00:00 EDT 2017},

month = {Sat Jul 01 00:00:00 EDT 2017}

}