Method to accept one class object or another class object

I have two methods like the following

private List<Long> getIds(String name, List<Cat> cats) {
    List<Long> catIds = new ArrayList<>();
    for (Cat cat : cats) {
        if (cat.getName().equals(name)) catIds.add(cat.getId());
    }
    return catIds;
}

private List<Long> getIds(String name, List<Dog> dogs) {
    List<Long> dogIds = new ArrayList<>();
    for (Dog dog : dogs) {
        if (dog.getName().equals(name)) dogIds.add(dog.getId());
    }
    return dogIds;
}

My cat and dog class are as follows

public class Cat {
    String name;
    Long id;
    // additional variables
    // getters and setters
}

public class Dog {
    String name;
    Long id;
    // additional variables
    // getters and setters
}

Just to avoid redundancy, I wanted to convert the above two methods to a single generic method.

I tried the following

private List<Long> getIds(String name, List<T> objects) {
    List<Long> ids = new ArrayList<>();
    for (T object : objects) {
        if (object.getName().equals(name)) ids.add(object.getId());
    }
    return ids;
}

But it does not work out as it complains that the generic T does not have getName or getId

Here Cat and Dog are in-built java classes. As a result I CANNOT perform inheritance and provide a super class Animal for them with name and id as data variables.

Is there any way I could accomplish merging the two above methods without implementing inheritance?